100212110000020 has 24 divisors (see below), whose sum is σ = 210450765655368. Its totient is φ = 40083827875200.

The previous prime is 100212109999931. The next prime is 100212110000027. The reversal of 100212110000020 is 20000011212001.

It can be written as a sum of positive squares in 4 ways, for example, as 20485997613316 + 79726112386704 = 4526146^2 + 8928948^2 .

It is a super-2 number, since 2×100212110000020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100212109999961 and 100212110000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212110000027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62698851 + ... + 64277290.

It is an arithmetic number, because the mean of its divisors is an integer number (8768781902307).

Almost surely, 2^{100212110000020} is an apocalyptic number.

100212110000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212110000020 is an abundant number, since it is smaller than the sum of its proper divisors (110238655655348).

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

100212110000020 is a wasteful number, since it uses less digits than its factorization.

100212110000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127015611 (or 127015609 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100212110000020 its reverse (20000011212001), we get a palindrome (120212121212021).

The spelling of 100212110000020 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, twenty", and thus it is an aban number.