100021020012 has 72 divisors (see below), whose sum is σ = 254108116080. Its totient is φ = 33172139520.

The previous prime is 100021019963. The next prime is 100021020013. The reversal of 100021020012 is 210020120001.

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 = 100021019976 and 100021020003.

It is not an unprimeable number, because it can be changed into a prime (100021020013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13492587 + ... + 13499997.

It is an arithmetic number, because the mean of its divisors is an integer number (3529279390).

Almost surely, 2^100021020012 is an apocalyptic number.

100021020012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021020012 is an abundant number, since it is smaller than the sum of its proper divisors (154087096068).

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

100021020012 is a wasteful number, since it uses less digits than its factorization.

100021020012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9263 (or 9258 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100021020012 its reverse (210020120001), we get a palindrome (310041140013).

The spelling of 100021020012 in words is "one hundred billion, twenty-one million, twenty thousand, twelve".