100121100012 has 36 divisors (see below), whose sum is σ = 259924000336. Its totient is φ = 32471707680.

The previous prime is 100121100011. The next prime is 100121100017. The reversal of 100121100012 is 210001121001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100121100012² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100121099967 and 100121100003.

It is not an unprimeable number, because it can be changed into a prime (100121100011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37581664 + ... + 37584327.

Almost surely, 2^100121100012 is an apocalyptic number.

100121100012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121100012 is an abundant number, since it is smaller than the sum of its proper divisors (159802900324).

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

100121100012 is a wasteful number, since it uses less digits than its factorization.

100121100012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75166038 (or 75166033 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121100012 its reverse (210001121001), we get a palindrome (310122221013).

The spelling of 100121100012 in words is "one hundred billion, one hundred twenty-one million, one hundred thousand, twelve".