102112221022101 has 36 divisors (see below), whose sum is σ = 148467222671040. Its totient is φ = 67629155834160.

The previous prime is 102112221022073. The next prime is 102112221022129. The reversal of 102112221022101 is 101220122211201.

102112221022101 is a `hidden beast` number, since 1 + 0 + 211 + 22 + 210 + 221 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102112221022073) and next prime (102112221022129).

It is not a de Polignac number, because 102112221022101 - 2⁹ = 102112221021589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102112221022171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 299444986 + ... + 299785796.

It is an arithmetic number, because the mean of its divisors is an integer number (4124089518640).

Almost surely, 2^{102112221022101} is an apocalyptic number.

It is an amenable number.

102112221022101 is a deficient number, since it is larger than the sum of its proper divisors (46355001648939).

102112221022101 is a wasteful number, since it uses less digits than its factorization.

102112221022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342214 (or 342032 counting only the distinct ones).

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

Adding to 102112221022101 its reverse (101220122211201), we get a palindrome (203332343233302).

The spelling of 102112221022101 in words is "one hundred two trillion, one hundred twelve billion, two hundred twenty-one million, twenty-two thousand, one hundred one".