102221012011122 has 12 divisors (see below), whose sum is σ = 221478859357470. Its totient is φ = 34073670670368.

The previous prime is 102221012011099. The next prime is 102221012011141. The reversal of 102221012011122 is 221110210122201.

It can be written as a sum of positive squares in only one way, i.e., 79805796361281 + 22415215649841 = 8933409^2 + 4734471^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 5678945111729 = 102221012011122 / (1 + 0 + 2 + 2 + 2 + 1 + 0 + 1 + 2 + 0 + 1 + 1 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 102221012011095 and 102221012011104.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2839472555847 + ... + 2839472555882.

Almost surely, 2^{102221012011122} is an apocalyptic number.

102221012011122 is an abundant number, since it is smaller than the sum of its proper divisors (119257847346348).

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

102221012011122 is a wasteful number, since it uses less digits than its factorization.

102221012011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5678945111737 (or 5678945111734 counting only the distinct ones).

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

Adding to 102221012011122 its reverse (221110210122201), we get a palindrome (323331222133323).

The spelling of 102221012011122 in words is "one hundred two trillion, two hundred twenty-one billion, twelve million, eleven thousand, one hundred twenty-two".