101102112122 has 48 divisors (see below), whose sum is σ = 175841917632. Its totient is φ = 43228154880.

The previous prime is 101102112107. The next prime is 101102112149. The reversal of 101102112122 is 221211201101.

It is a junction number, because it is equal to n+sod(n) for n = 101102112097 and 101102112106.

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, 15910898 + ... + 15917250.

It is an arithmetic number, because the mean of its divisors is an integer number (3663373284).

Almost surely, 2^101102112122 is an apocalyptic number.

101102112122 is a deficient number, since it is larger than the sum of its proper divisors (74739805510).

101102112122 is a wasteful number, since it uses less digits than its factorization.

101102112122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8903 (or 8886 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101102112122 its reverse (221211201101), we get a palindrome (322313313223).

The spelling of 101102112122 in words is "one hundred one billion, one hundred two million, one hundred twelve thousand, one hundred twenty-two".