102212133620220 has 216 divisors, whose sum is σ = 335765704568112. Its totient is φ = 25157050214400.

The previous prime is 102212133620153. The next prime is 102212133620239. The reversal of 102212133620220 is 22026331212201.

102212133620220 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 2 + 1 + 33 + 620 + 2 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 273928180 + ... + 274301060.

It is an arithmetic number, because the mean of its divisors is an integer number (1554470854482).

Almost surely, 2^{102212133620220} is an apocalyptic number.

102212133620220 is a gapful number since it is divisible by the number (10) 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 102212133620220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167882852284056).

102212133620220 is an abundant number, since it is smaller than the sum of its proper divisors (233553570947892).

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

102212133620220 is a wasteful number, since it uses less digits than its factorization.

102212133620220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381933 (or 381915 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 102212133620220 its reverse (22026331212201), we get a palindrome (124238464832421).

The spelling of 102212133620220 in words is "one hundred two trillion, two hundred twelve billion, one hundred thirty-three million, six hundred twenty thousand, two hundred twenty".