102022112211201 has 80 divisors (see below), whose sum is σ = 188320725952128. Its totient is φ = 53599462560000.

The previous prime is 102022112211169. The next prime is 102022112211259. The reversal of 102022112211201 is 102112211220201.

102022112211201 is a `hidden beast` number, since 1 + 0 + 20 + 221 + 1 + 221 + 1 + 201 = 666.

It is not a de Polignac number, because 102022112211201 - 2⁵ = 102022112211169 is a prime.

It is a super-2 number, since 2×102022112211201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102022112211281) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25721620 + ... + 29421861.

Almost surely, 2^{102022112211201} is an apocalyptic number.

It is an amenable number.

102022112211201 is a deficient number, since it is larger than the sum of its proper divisors (86298613740927).

102022112211201 is a wasteful number, since it uses less digits than its factorization.

102022112211201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55143764 (or 55143755 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102022112211201 its reverse (102112211220201), we get a palindrome (204134323431402).

The spelling of 102022112211201 in words is "one hundred two trillion, twenty-two billion, one hundred twelve million, two hundred eleven thousand, two hundred one".