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100101211100000 = 2555112910131069
BaseRepresentation
bin10110110000101010100001…
…001000010001001101100000
3111010102120201111212010101222
4112300222201020101031200
5101110024240020200000
6552521510031514212
730041034220246445
oct2660524110211540
9433376644763358
10100101211100000
112999375a03a670
12b288351088968
1343b16718352b6
141aa0cd2a519cc
15b88cdeed8a85
hex5b0aa1211360

100101211100000 has 576 divisors, whose sum is σ = 280748027851200. Its totient is φ = 34796160000000.

The previous prime is 100101211099999. The next prime is 100101211100071. The reversal of 100101211100000 is 1112101001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3221884466 + ... + 3221915534.

It is an arithmetic number, because the mean of its divisors is an integer number (487409770575).

Almost surely, 2100101211100000 is an apocalyptic number.

100101211100000 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 100101211100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140374013925600).

100101211100000 is an abundant number, since it is smaller than the sum of its proper divisors (180646816751200).

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

100101211100000 is a wasteful number, since it uses less digits than its factorization.

100101211100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31245 (or 31217 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101211100000 its reverse (1112101001), we get a palindrome (100102323201001).

The spelling of 100101211100000 in words is "one hundred trillion, one hundred one billion, two hundred eleven million, one hundred thousand".