101102112122102 has 128 divisors (see below), whose sum is σ = 198313680208896. Its totient is φ = 37513508401152.

The previous prime is 101102112122059. The next prime is 101102112122171. The reversal of 101102112122102 is 201221211201101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1918529018 + ... + 1918581714.

It is an arithmetic number, because the mean of its divisors is an integer number (1549325626632).

Almost surely, 2^{101102112122102} is an apocalyptic number.

101102112122102 is a deficient number, since it is larger than the sum of its proper divisors (97211568086794).

101102112122102 is a wasteful number, since it uses less digits than its factorization.

101102112122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54870.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101102112122102 its reverse (201221211201101), we get a palindrome (302323323323203).

The spelling of 101102112122102 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred two".