212132033333100 has 72 divisors (see below), whose sum is σ = 681965203464720. Its totient is φ = 56568542221440.

The previous prime is 212132033333071. The next prime is 212132033333111. The reversal of 212132033333100 is 1333330231212.

212132033333100 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 320 + 3 + 3 + 3 + 331 + 0 + 0 = 666.

It is a super-2 number, since 2×212132033333100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 39283707177 + ... + 39283712576.

It is an arithmetic number, because the mean of its divisors is an integer number (9471738937010).

Almost surely, 2^{212132033333100} is an apocalyptic number.

212132033333100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212132033333100 is an abundant number, since it is smaller than the sum of its proper divisors (469833170131620).

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

212132033333100 is a wasteful number, since it uses less digits than its factorization.

212132033333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78567419776 (or 78567419763 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 212132033333100 its reverse (1333330231212), we get a palindrome (213465363564312).

The spelling of 212132033333100 in words is "two hundred twelve trillion, one hundred thirty-two billion, thirty-three million, three hundred thirty-three thousand, one hundred".