102100221022122 has 32 divisors (see below), whose sum is σ = 226890917683200. Its totient is φ = 34033176362304.

The previous prime is 102100221022117. The next prime is 102100221022123. The reversal of 102100221022122 is 221220122001201.

It is a happy number.

102100221022122 is a `hidden beast` number, since 1 + 0 + 210 + 0 + 2 + 210 + 221 + 22 = 666.

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 = 102100221022095 and 102100221022104.

It is not an unprimeable number, because it can be changed into a prime (102100221022123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729879 + ... + 14394197.

It is an arithmetic number, because the mean of its divisors is an integer number (7090341177600).

Almost surely, 2^{102100221022122} is an apocalyptic number.

102100221022122 is an abundant number, since it is smaller than the sum of its proper divisors (124790696661078).

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

102100221022122 is a wasteful number, since it uses less digits than its factorization.

102100221022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12813627 (or 12813621 counting only the distinct ones).

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

Adding to 102100221022122 its reverse (221220122001201), we get a palindrome (323320343023323).

The spelling of 102100221022122 in words is "one hundred two trillion, one hundred billion, two hundred twenty-one million, twenty-two thousand, one hundred twenty-two".