102213120112101 has 32 divisors (see below), whose sum is σ = 156424770544640. Its totient is φ = 65896196846400.

The previous prime is 102213120112093. The next prime is 102213120112127. The reversal of 102213120112101 is 101211021312201.

It is a happy number.

102213120112101 is a `hidden beast` number, since 1 + 0 + 221 + 31 + 201 + 1 + 210 + 1 = 666.

It is not a de Polignac number, because 102213120112101 - 2³ = 102213120112093 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102213120122101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43057870 + ... + 45369663.

It is an arithmetic number, because the mean of its divisors is an integer number (4888274079520).

Almost surely, 2^{102213120112101} is an apocalyptic number.

It is an amenable number.

102213120112101 is a deficient number, since it is larger than the sum of its proper divisors (54211650432539).

102213120112101 is a wasteful number, since it uses less digits than its factorization.

102213120112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88428954 (or 88428948 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102213120112101 its reverse (101211021312201), we get a palindrome (203424141424302).

The spelling of 102213120112101 in words is "one hundred two trillion, two hundred thirteen billion, one hundred twenty million, one hundred twelve thousand, one hundred one".