100120101012 has 54 divisors (see below), whose sum is σ = 260106397278. Its totient is φ = 32471368128.

The previous prime is 100120100989. The next prime is 100120101143. The reversal of 100120101012 is 210101021001.

It is a happy number.

100120101012 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 3 ways, for example, as 85051556496 + 15068544516 = 291636^2 + 122754^2 .

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 = 100120100985 and 100120101003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 966463 + ... + 1065030.

Almost surely, 2^100120101012 is an apocalyptic number.

100120101012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100120101012 is an abundant number, since it is smaller than the sum of its proper divisors (159986296266).

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

100120101012 is a wasteful number, since it uses less digits than its factorization.

100120101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031577 (or 2031535 counting only the distinct ones).

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

Adding to 100120101012 its reverse (210101021001), we get a palindrome (310221122013).

The spelling of 100120101012 in words is "one hundred billion, one hundred twenty million, one hundred one thousand, twelve".