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12102101000 = 2353119071213
BaseRepresentation
bin10110100010101011…
…10110100000001000
31011020102020102120222
423101111312200020
5144241114213000
65320514005212
7605621106203
oct132125664010
934212212528
1012102101000
115150358670
122418b76808
1311ab362712
1482b3d893a
154ac6dca85
hex2d1576808

12102101000 has 128 divisors (see below), whose sum is σ = 30952920960. Its totient is φ = 4392288000.

The previous prime is 12102100999. The next prime is 12102101009. The reversal of 12102101000 is 10120121.

Adding to 12102101000 its reverse (10120121), we get a palindrome (12112221121).

It is a super-2 number, since 2×121021010002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (12102101009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9976394 + ... + 9977606.

It is an arithmetic number, because the mean of its divisors is an integer number (241819695).

Almost surely, 212102101000 is an apocalyptic number.

12102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15476460480).

12102101000 is an abundant number, since it is smaller than the sum of its proper divisors (18850819960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12102101000 is a wasteful number, since it uses less digits than its factorization.

12102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2152 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The spelling of 12102101000 in words is "twelve billion, one hundred two million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 907 1000 1100 1213 1375 1814 2200 2426 2750 3628 4535 4852 5500 6065 7256 9070 9704 9977 11000 12130 13343 18140 19954 22675 24260 26686 30325 36280 39908 45350 48520 49885 53372 60650 66715 79816 90700 99770 106744 113375 121300 133430 151625 181400 199540 226750 242600 249425 266860 303250 333575 399080 453500 498850 533720 606500 667150 907000 997700 1100191 1213000 1247125 1334300 1667875 1995400 2200382 2494250 2668600 3335750 4400764 4988500 5500955 6671500 8801528 9977000 11001910 12102101 13343000 22003820 24204202 27504775 44007640 48408404 55009550 60510505 96816808 110019100 121021010 137523875 220038200 242042020 275047750 302552525 484084040 550095500 605105050 1100191000 1210210100 1512762625 2420420200 3025525250 6051050500 12102101000