101121312 has 24 divisors (see below), whose sum is σ = 265443696. Its totient is φ = 33707072.

The previous prime is 101121311. The next prime is 101121323. The reversal of 101121312 is 213121101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101121311) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 526578 + ... + 526769.

It is an arithmetic number, because the mean of its divisors is an integer number (11060154).

Almost surely, 2^101121312 is an apocalyptic number.

101121312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101121312 is an abundant number, since it is smaller than the sum of its proper divisors (164322384).

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

101121312 is a wasteful number, since it uses less digits than its factorization.

101121312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053360 (or 1053352 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 101121312 is about 10055.9093074669. The cubic root of 101121312 is about 465.8873287008.

Adding to 101121312 its reverse (213121101), we get a palindrome (314242413).

The spelling of 101121312 in words is "one hundred one million, one hundred twenty-one thousand, three hundred twelve".