101121132312 has 48 divisors (see below), whose sum is σ = 281271625440. Its totient is φ = 32796042048.

The previous prime is 101121132311. The next prime is 101121132319. The reversal of 101121132312 is 213231121101.

101121132312 is a `hidden beast` number, since 101 + 121 + 132 + 312 = 666.

It is a super-2 number, since 2×101121132312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121132311) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18976528 + ... + 18981855.

It is an arithmetic number, because the mean of its divisors is an integer number (5859825530).

Almost surely, 2^101121132312 is an apocalyptic number.

101121132312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121132312 is an abundant number, since it is smaller than the sum of its proper divisors (180150493128).

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

101121132312 is a wasteful number, since it uses less digits than its factorization.

101121132312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37958432 (or 37958425 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101121132312 its reverse (213231121101), we get a palindrome (314352253413).

The spelling of 101121132312 in words is "one hundred one billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred twelve".