102211103011122 has 144 divisors (see below), whose sum is σ = 260551055949912. Its totient is φ = 28871052134400.

The previous prime is 102211103011103. The next prime is 102211103011229. The reversal of 102211103011122 is 221110301112201.

It is a happy number.

102211103011122 is a `hidden beast` number, since 1 + 0 + 221 + 110 + 301 + 11 + 22 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 101462931640161 + 748171370961 = 10072881^2 + 864969^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 102211103011095 and 102211103011104.

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, 59099748 + ... + 60804624.

Almost surely, 2^{102211103011122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102211103011122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130275527974956).

102211103011122 is an abundant number, since it is smaller than the sum of its proper divisors (158339952938790).

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

102211103011122 is a wasteful number, since it uses less digits than its factorization.

102211103011122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705673 (or 1705663 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102211103011122 its reverse (221110301112201), we get a palindrome (323321404123323).

The spelling of 102211103011122 in words is "one hundred two trillion, two hundred eleven billion, one hundred three million, eleven thousand, one hundred twenty-two".