102012012022221 has 96 divisors (see below), whose sum is σ = 172795590040320. Its totient is φ = 56791192753152.

The previous prime is 102012012022199. The next prime is 102012012022237. The reversal of 102012012022221 is 122220210210201.

It is a happy number.

102012012022221 is a `hidden beast` number, since 1 + 0 + 201 + 201 + 20 + 22 + 221 = 666.

It is not a de Polignac number, because 102012012022221 - 2²³ = 102012003633613 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102012012022194 and 102012012022203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102012012062221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 201018415 + ... + 201525251.

It is an arithmetic number, because the mean of its divisors is an integer number (1799954062920).

Almost surely, 2^{102012012022221} is an apocalyptic number.

It is an amenable number.

102012012022221 is a deficient number, since it is larger than the sum of its proper divisors (70783578018099).

102012012022221 is a wasteful number, since it uses less digits than its factorization.

102012012022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507395 (or 507392 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102012012022221 its reverse (122220210210201), we get a palindrome (224232222232422).

The spelling of 102012012022221 in words is "one hundred two trillion, twelve billion, twelve million, twenty-two thousand, two hundred twenty-one".