202101002212122 has 48 divisors (see below), whose sum is σ = 471570423710568. Its totient is φ = 62184736696320.

The previous prime is 202101002212063. The next prime is 202101002212147. The reversal of 202101002212122 is 221212200101202.

It is a happy number.

202101002212122 is a `hidden beast` number, since 20 + 210 + 1 + 0 + 0 + 221 + 212 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118054113903441 + 84046888308681 = 10865271^2 + 9167709^2 .

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 = 202101002212095 and 202101002212104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90482622 + ... + 92689302.

Almost surely, 2^{202101002212122} is an apocalyptic number.

202101002212122 is an abundant number, since it is smaller than the sum of its proper divisors (269469421498446).

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

202101002212122 is a wasteful number, since it uses less digits than its factorization.

202101002212122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2598095 (or 2598092 counting only the distinct ones).

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

Adding to 202101002212122 its reverse (221212200101202), we get a palindrome (423313202313324).

The spelling of 202101002212122 in words is "two hundred two trillion, one hundred one billion, two million, two hundred twelve thousand, one hundred twenty-two".