101011102101112 has 48 divisors (see below), whose sum is σ = 220319785211760. Its totient is φ = 43290039494016.

The previous prime is 101011102101109. The next prime is 101011102101131. The reversal of 101011102101112 is 211101201110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011102101092 and 101011102101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39623253 + ... + 42095419.

It is an arithmetic number, because the mean of its divisors is an integer number (4589995525245).

Almost surely, 2^{101011102101112} is an apocalyptic number.

It is an amenable number.

101011102101112 is an abundant number, since it is smaller than the sum of its proper divisors (119308683110648).

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

101011102101112 is a wasteful number, since it uses less digits than its factorization.

101011102101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2576420 (or 2576409 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101011102101112 its reverse (211101201110101), we get a palindrome (312112303211213).

The spelling of 101011102101112 in words is "one hundred one trillion, eleven billion, one hundred two million, one hundred one thousand, one hundred twelve".