102022022122101 has 6 divisors (see below), whose sum is σ = 147365143065270. Its totient is φ = 68014681414728.

The previous prime is 102022022122093. The next prime is 102022022122177. The reversal of 102022022122101 is 101221220220201.

It is a happy number.

102022022122101 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 220 + 221 + 221 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 99875518763076 + 2146503359025 = 9993774^2 + 1465095^2 .

It is not a de Polignac number, because 102022022122101 - 2³ = 102022022122093 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102022022132101) 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, 5667890117886 + ... + 5667890117903.

It is an arithmetic number, because the mean of its divisors is an integer number (24560857177545).

Almost surely, 2^{102022022122101} is an apocalyptic number.

It is an amenable number.

102022022122101 is a deficient number, since it is larger than the sum of its proper divisors (45343120943169).

102022022122101 is a wasteful number, since it uses less digits than its factorization.

102022022122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11335780235795 (or 11335780235792 counting only the distinct ones).

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

Adding to 102022022122101 its reverse (101221220220201), we get a palindrome (203243242342302).

The spelling of 102022022122101 in words is "one hundred two trillion, twenty-two billion, twenty-two million, one hundred twenty-two thousand, one hundred one".