101201110211112 has 32 divisors (see below), whose sum is σ = 253866266246880. Its totient is φ = 33618571307840.

The previous prime is 101201110211101. The next prime is 101201110211183. The reversal of 101201110211112 is 211112011102101.

101201110211112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 101201110211091 and 101201110211100.

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, 7195748814 + ... + 7195762877.

It is an arithmetic number, because the mean of its divisors is an integer number (7933320820215).

Almost surely, 2^{101201110211112} is an apocalyptic number.

101201110211112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101201110211112 is an abundant number, since it is smaller than the sum of its proper divisors (152665156035768).

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

101201110211112 is a wasteful number, since it uses less digits than its factorization.

101201110211112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14391511993 (or 14391511989 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101201110211112 its reverse (211112011102101), we get a palindrome (312313121313213).

The spelling of 101201110211112 in words is "one hundred one trillion, two hundred one billion, one hundred ten million, two hundred eleven thousand, one hundred twelve".