102212220200202 has 96 divisors (see below), whose sum is σ = 258659884334592. Its totient is φ = 28562467076352.

The previous prime is 102212220200201. The next prime is 102212220200203. The reversal of 102212220200202 is 202002022212201.

102212220200202 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 220 + 20 + 0 + 202 = 666.

It is an interprime number because it is at equal distance from previous prime (102212220200201) and next prime (102212220200203).

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

It is not an unprimeable number, because it can be changed into a prime (102212220200201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2665318 + ... + 14544014.

It is an arithmetic number, because the mean of its divisors is an integer number (2694373795152).

Almost surely, 2^{102212220200202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102212220200202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129329942167296).

102212220200202 is an abundant number, since it is smaller than the sum of its proper divisors (156447664134390).

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

102212220200202 is a wasteful number, since it uses less digits than its factorization.

102212220200202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11880212 (or 11880209 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102212220200202 its reverse (202002022212201), we get a palindrome (304214242412403).

The spelling of 102212220200202 in words is "one hundred two trillion, two hundred twelve billion, two hundred twenty million, two hundred thousand, two hundred two".