101212102112 has 96 divisors (see below), whose sum is σ = 221742904320. Its totient is φ = 45083384320.

The previous prime is 101212102073. The next prime is 101212102127. The reversal of 101212102112 is 211201212101.

101212102112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101212102112² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18336089 + ... + 18341607.

It is an arithmetic number, because the mean of its divisors is an integer number (2309821920).

Almost surely, 2^101212102112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212102112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110871452160).

101212102112 is an abundant number, since it is smaller than the sum of its proper divisors (120530802208).

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

101212102112 is a wasteful number, since it uses less digits than its factorization.

101212102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6568 counting only the distinct ones).

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

Adding to 101212102112 its reverse (211201212101), we get a palindrome (312413314213).

The spelling of 101212102112 in words is "one hundred one billion, two hundred twelve million, one hundred two thousand, one hundred twelve".