100010121100 has 72 divisors (see below), whose sum is σ = 232696981440. Its totient is φ = 37174225920.

The previous prime is 100010121089. The next prime is 100010121161. The reversal of 100010121100 is 1121010001.

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 23 ways as a sum of consecutive naturals, for example, 238039 + ... + 506638.

It is an arithmetic number, because the mean of its divisors is an integer number (3231902520).

Almost surely, 2^100010121100 is an apocalyptic number.

100010121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100010121100 is an abundant number, since it is smaller than the sum of its proper divisors (132686860340).

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

100010121100 is a wasteful number, since it uses less digits than its factorization.

100010121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744787 (or 744780 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100010121100 its reverse (1121010001), we get a palindrome (101131131101).

It can be divided in two parts, 1000101 and 21100, that added together give a palindrome (1021201).

The spelling of 100010121100 in words is "one hundred billion, ten million, one hundred twenty-one thousand, one hundred".