101220231312 has 160 divisors (see below), whose sum is σ = 300243640320. Its totient is φ = 32615568000.

The previous prime is 101220231311. The next prime is 101220231313. The reversal of 101220231312 is 213132022101.

101220231312 is a `hidden beast` number, since 1 + 0 + 122 + 0 + 231 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (101220231311) and next prime (101220231313).

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

It is not an unprimeable number, because it can be changed into a prime (101220231311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13803487 + ... + 13810817.

It is an arithmetic number, because the mean of its divisors is an integer number (1876522752).

Almost surely, 2^101220231312 is an apocalyptic number.

101220231312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150121820160).

101220231312 is an abundant number, since it is smaller than the sum of its proper divisors (199023409008).

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

101220231312 is a wasteful number, since it uses less digits than its factorization.

101220231312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101220231312 its reverse (213132022101), we get a palindrome (314352253413).

The spelling of 101220231312 in words is "one hundred one billion, two hundred twenty million, two hundred thirty-one thousand, three hundred twelve".