100001010021012 has 36 divisors (see below), whose sum is σ = 252858907595476. Its totient is φ = 33323308243200.

The previous prime is 100001010020981. The next prime is 100001010021067. The reversal of 100001010021012 is 210120010100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 41879354473476 + 58121655547536 = 6471426^2 + 7623756^2 .

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

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 = 100001010020985 and 100001010021003.

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, 431622739 + ... + 431854362.

Almost surely, 2^{100001010021012} is an apocalyptic number.

100001010021012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100001010021012 is an abundant number, since it is smaller than the sum of its proper divisors (152857897574464).

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

100001010021012 is a wasteful number, since it uses less digits than its factorization.

100001010021012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863480328 (or 863480323 counting only the distinct ones).

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

Adding to 100001010021012 its reverse (210120010100001), we get a palindrome (310121020121013).

The spelling of 100001010021012 in words is "one hundred trillion, one billion, ten million, twenty-one thousand, twelve".