212100102000 has 120 divisors (see below), whose sum is σ = 740795019120. Its totient is φ = 56560022400.

The previous prime is 212100101981. The next prime is 212100102017. The reversal of 212100102000 is 201001212.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5873670 + ... + 5909669.

It is an arithmetic number, because the mean of its divisors is an integer number (6173291826).

Almost surely, 2^212100102000 is an apocalyptic number.

212100102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100102000 is an abundant number, since it is smaller than the sum of its proper divisors (528694917120).

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

212100102000 is a wasteful number, since it uses less digits than its factorization.

212100102000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11783368 (or 11783349 counting only the distinct ones).

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

Adding to 212100102000 its reverse (201001212), we get a palindrome (212301103212).

The spelling of 212100102000 in words is "two hundred twelve billion, one hundred million, one hundred two thousand".