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122101002100 = 225271115857273
BaseRepresentation
bin111000110110111001…
…0010110111101110100
3102200011102120120120001
41301231302112331310
54000030324031400
6132031544121044
711551530251650
oct1615562267564
9380142516501
10122101002100
11478679180a0
121b7b7466184
13b68b56638c
145ca43b3a60
153299669a6a
hex1c6dc96f74

122101002100 has 72 divisors (see below), whose sum is σ = 330338731968. Its totient is φ = 38057452800.

The previous prime is 122101002043. The next prime is 122101002103. The reversal of 122101002100 is 1200101221.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101002103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7920937 + ... + 7936336.

It is an arithmetic number, because the mean of its divisors is an integer number (4588037944).

Almost surely, 2122101002100 is an apocalyptic number.

122101002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101002100 is an abundant number, since it is smaller than the sum of its proper divisors (208237729868).

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

122101002100 is a wasteful number, since it uses less digits than its factorization.

122101002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15857305 (or 15857298 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 122101002100 its reverse (1200101221), we get a palindrome (123301103321).

The spelling of 122101002100 in words is "one hundred twenty-two billion, one hundred one million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 140 154 175 220 275 308 350 385 550 700 770 1100 1540 1925 3850 7700 15857273 31714546 63429092 79286365 111000911 158572730 174430003 222001822 317145460 348860006 396431825 444003644 555004555 697720012 792863650 872150015 1110009110 1221010021 1585727300 1744300030 2220018220 2442020042 2775022775 3488600060 4360750075 4884040084 5550045550 6105050105 8721500150 11100091100 12210100210 17443000300 24420200420 30525250525 61050501050 122101002100