102101101022112 has 48 divisors (see below), whose sum is σ = 272558023930080. Its totient is φ = 33456857960192.

The previous prime is 102101101022101. The next prime is 102101101022149. The reversal of 102101101022112 is 211220101101201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×102101101022112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101101022091 and 102101101022100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9013156503 + ... + 9013167830.

It is an arithmetic number, because the mean of its divisors is an integer number (5678292165210).

Almost surely, 2^{102101101022112} is an apocalyptic number.

102101101022112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101101022112 is an abundant number, since it is smaller than the sum of its proper divisors (170456922907968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101101022112 is a wasteful number, since it uses less digits than its factorization.

102101101022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18026324405 (or 18026324397 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102101101022112 its reverse (211220101101201), we get a palindrome (313321202123313).

The spelling of 102101101022112 in words is "one hundred two trillion, one hundred one billion, one hundred one million, twenty-two thousand, one hundred twelve".