102111222112101 has 32 divisors (see below), whose sum is σ = 154895914967040. Its totient is φ = 66463751718000.

The previous prime is 102111222112099. The next prime is 102111222112117. The reversal of 102111222112101 is 101211222111201.

It is a happy number.

102111222112101 is a `hidden beast` number, since 10 + 211 + 1 + 22 + 211 + 210 + 1 = 666.

It is not a de Polignac number, because 102111222112101 - 2¹ = 102111222112099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102111222112001) 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, 258376125 + ... + 258771026.

It is an arithmetic number, because the mean of its divisors is an integer number (4840497342720).

Almost surely, 2^{102111222112101} is an apocalyptic number.

It is an amenable number.

102111222112101 is a deficient number, since it is larger than the sum of its proper divisors (52784692854939).

102111222112101 is a wasteful number, since it uses less digits than its factorization.

102111222112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517147334 (or 517147328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102111222112101 its reverse (101211222111201), we get a palindrome (203322444223302).

The spelling of 102111222112101 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-two million, one hundred twelve thousand, one hundred one".