101220131012 has 96 divisors (see below), whose sum is σ = 238214774784. Its totient is φ = 36344246400.

The previous prime is 101220131011. The next prime is 101220131039. The reversal of 101220131012 is 210131022101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (101220131011) 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, 2506493 + ... + 2546555.

It is an arithmetic number, because the mean of its divisors is an integer number (2481403904).

Almost surely, 2^101220131012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220131012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119107387392).

101220131012 is an abundant number, since it is smaller than the sum of its proper divisors (136994643772).

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

101220131012 is a wasteful number, since it uses less digits than its factorization.

101220131012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40729 (or 40727 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101220131012 its reverse (210131022101), we get a palindrome (311351153113).

It can be divided in two parts, 101220 and 131012, that added together give a palindrome (232232).

The spelling of 101220131012 in words is "one hundred one billion, two hundred twenty million, one hundred thirty-one thousand, twelve".