101023312220112 has 80 divisors (see below), whose sum is σ = 266533616471040. Its totient is φ = 32957462080896.

The previous prime is 101023312220107. The next prime is 101023312220137. The reversal of 101023312220112 is 211022213320101.

101023312220112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×101023312220112³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 167461839 + ... + 168064017.

It is an arithmetic number, because the mean of its divisors is an integer number (3331670205888).

Almost surely, 2^{101023312220112} is an apocalyptic number.

101023312220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101023312220112 is an abundant number, since it is smaller than the sum of its proper divisors (165510304250928).

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

101023312220112 is a wasteful number, since it uses less digits than its factorization.

101023312220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676600 (or 676594 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 101023312220112 its reverse (211022213320101), we get a palindrome (312045525540213).

The spelling of 101023312220112 in words is "one hundred one trillion, twenty-three billion, three hundred twelve million, two hundred twenty thousand, one hundred twelve".