212010120002100 has 864 divisors, whose sum is σ = 757235914466304. Its totient is φ = 45583882444800.

The previous prime is 212010120002081. The next prime is 212010120002119. The reversal of 212010120002100 is 1200021010212.

It is an interprime number because it is at equal distance from previous prime (212010120002081) and next prime (212010120002119).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18833619672 + ... + 18833630928.

Almost surely, 2^{212010120002100} is an apocalyptic number.

212010120002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212010120002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378617957233152).

212010120002100 is an abundant number, since it is smaller than the sum of its proper divisors (545225794464204).

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

212010120002100 is a wasteful number, since it uses less digits than its factorization.

212010120002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12473 (or 12459 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212010120002100 its reverse (1200021010212), we get a palindrome (213210141012312).

The spelling of 212010120002100 in words is "two hundred twelve trillion, ten billion, one hundred twenty million, two thousand, one hundred".