101331202121112 has 32 divisors (see below), whose sum is σ = 253377493401600. Its totient is φ = 33770468960544.

The previous prime is 101331202121063. The next prime is 101331202121147. The reversal of 101331202121112 is 211121202133101.

It is a super-2 number, since 2×101331202121112² (a number of 29 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 7 ways as a sum of consecutive naturals, for example, 412275408 + ... + 412521119.

It is an arithmetic number, because the mean of its divisors is an integer number (7918046668800).

Almost surely, 2^{101331202121112} is an apocalyptic number.

101331202121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101331202121112 is an abundant number, since it is smaller than the sum of its proper divisors (152046291280488).

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

101331202121112 is a wasteful number, since it uses less digits than its factorization.

101331202121112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824801655 (or 824801651 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

Adding to 101331202121112 its reverse (211121202133101), we get a palindrome (312452404254213).

The spelling of 101331202121112 in words is "one hundred one trillion, three hundred thirty-one billion, two hundred two million, one hundred twenty-one thousand, one hundred twelve".