212312000132100 has 432 divisors, whose sum is σ = 759902691614976. Its totient is φ = 50988544848000.

The previous prime is 212312000132087. The next prime is 212312000132129. The reversal of 212312000132100 is 1231000213212.

212312000132100 is a `hidden beast` number, since 2 + 1 + 231 + 200 + 0 + 132 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24889495 + ... + 32312705.

It is an arithmetic number, because the mean of its divisors is an integer number (1759034008368).

Almost surely, 2^{212312000132100} is an apocalyptic number.

212312000132100 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 212312000132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379951345807488).

212312000132100 is an abundant number, since it is smaller than the sum of its proper divisors (547590691482876).

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

212312000132100 is a wasteful number, since it uses less digits than its factorization.

212312000132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7423358 (or 7423339 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 212312000132100 its reverse (1231000213212), we get a palindrome (213543000345312).

The spelling of 212312000132100 in words is "two hundred twelve trillion, three hundred twelve billion, one hundred thirty-two thousand, one hundred".