102011002213122 has 12 divisors (see below), whose sum is σ = 221023838128470. Its totient is φ = 34003667404368.

The previous prime is 102011002213093. The next prime is 102011002213129. The reversal of 102011002213122 is 221312200110201.

102011002213122 is a `hidden beast` number, since 1 + 0 + 20 + 110 + 0 + 221 + 312 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55249325474121 + 46761676739001 = 7432989^2 + 6838251^2 .

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: 5667277900729 = 102011002213122 / (1 + 0 + 2 + 0 + 1 + 1 + 0 + 0 + 2 + 2 + 1 + 3 + 1 + 2 + 2).

It is a junction number, because it is equal to n+sod(n) for n = 102011002213095 and 102011002213104.

It is not an unprimeable number, because it can be changed into a prime (102011002213129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2833638950347 + ... + 2833638950382.

Almost surely, 2^{102011002213122} is an apocalyptic number.

102011002213122 is an abundant number, since it is smaller than the sum of its proper divisors (119012835915348).

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

102011002213122 is a wasteful number, since it uses less digits than its factorization.

102011002213122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5667277900737 (or 5667277900734 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102011002213122 its reverse (221312200110201), we get a palindrome (323323202323323).

The spelling of 102011002213122 in words is "one hundred two trillion, eleven billion, two million, two hundred thirteen thousand, one hundred twenty-two".