100121001012 has 18 divisors (see below), whose sum is σ = 253083641538. Its totient is φ = 33373666992.

The previous prime is 100121000971. The next prime is 100121001031. The reversal of 100121001012 is 210100121001.

It is a happy number.

100121001012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 77342947236 + 22778053776 = 278106^2 + 150924^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 100121000985 and 100121001003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1390569423 + ... + 1390569494.

Almost surely, 2^100121001012 is an apocalyptic number.

100121001012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100121001012 is an abundant number, since it is smaller than the sum of its proper divisors (152962640526).

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

100121001012 is a wasteful number, since it uses less digits than its factorization.

100121001012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781138927 (or 2781138922 counting only the distinct ones).

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

Adding to 100121001012 its reverse (210100121001), we get a palindrome (310221122013).

The spelling of 100121001012 in words is "one hundred billion, one hundred twenty-one million, one thousand, twelve".