102212022220101 has 24 divisors (see below), whose sum is σ = 151545650513400. Its totient is φ = 66360670128000.

The previous prime is 102212022220051. The next prime is 102212022220181. The reversal of 102212022220101 is 101022220212201.

It is a happy number.

102212022220101 is a `hidden beast` number, since 1 + 0 + 221 + 20 + 222 + 201 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 43264177157601 + 58947845062500 = 6577551^2 + 7677750^2 .

It is not a de Polignac number, because 102212022220101 - 2³⁷ = 102074583266629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212022220181) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 921620526 + ... + 921731423.

It is an arithmetic number, because the mean of its divisors is an integer number (6314402104725).

Almost surely, 2^{102212022220101} is an apocalyptic number.

It is an amenable number.

102212022220101 is a deficient number, since it is larger than the sum of its proper divisors (49333628293299).

102212022220101 is a wasteful number, since it uses less digits than its factorization.

102212022220101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843352117 (or 1843352114 counting only the distinct ones).

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

Adding to 102212022220101 its reverse (101022220212201), we get a palindrome (203234242432302).

The spelling of 102212022220101 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, two hundred twenty thousand, one hundred one".