100001122102100 has 36 divisors (see below), whose sum is σ = 217283162729724. Its totient is φ = 39948701786880.

The previous prime is 100001122102087. The next prime is 100001122102139. The reversal of 100001122102100 is 1201221100001.

It can be written as a sum of positive squares in 6 ways, for example, as 16759804327876 + 83241317774224 = 4093874^2 + 9123668^2 .

It is a super-2 number, since 2×100001122102100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 646760489 + ... + 646915088.

It is an arithmetic number, because the mean of its divisors is an integer number (6035643409159).

Almost surely, 2^{100001122102100} is an apocalyptic number.

100001122102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001122102100 is an abundant number, since it is smaller than the sum of its proper divisors (117282040627624).

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

100001122102100 is a wasteful number, since it uses less digits than its factorization.

100001122102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293676364 (or 1293676357 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100001122102100 its reverse (1201221100001), we get a palindrome (101202343202101).

The spelling of 100001122102100 in words is "one hundred trillion, one billion, one hundred twenty-two million, one hundred two thousand, one hundred".