202221111012102 has 768 divisors, whose sum is σ = 606918735360000. Its totient is φ = 48536159164416.

The previous prime is 202221111012077. The next prime is 202221111012149. The reversal of 202221111012102 is 201210111122202.

202221111012102 is a `hidden beast` number, since 20 + 222 + 111 + 101 + 210 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10237478658 + ... + 10237498410.

It is an arithmetic number, because the mean of its divisors is an integer number (790258770000).

Almost surely, 2^{202221111012102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221111012102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303459367680000).

202221111012102 is an abundant number, since it is smaller than the sum of its proper divisors (404697624347898).

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

202221111012102 is a wasteful number, since it uses less digits than its factorization.

202221111012102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20050 (or 20025 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 202221111012102 its reverse (201210111122202), we get a palindrome (403431222134304).

The spelling of 202221111012102 in words is "two hundred two trillion, two hundred twenty-one billion, one hundred eleven million, twelve thousand, one hundred two".