101120211012 has 96 divisors (see below), whose sum is σ = 252902160000. Its totient is φ = 31384184832.

The previous prime is 101120210957. The next prime is 101120211043. The reversal of 101120211012 is 210112021101.

It is a super-2 number, since 2×101120211012² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1420239 + ... + 1489737.

It is an arithmetic number, because the mean of its divisors is an integer number (2634397500).

Almost surely, 2^101120211012 is an apocalyptic number.

101120211012 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 101120211012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126451080000).

101120211012 is an abundant number, since it is smaller than the sum of its proper divisors (151781948988).

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

101120211012 is a wasteful number, since it uses less digits than its factorization.

101120211012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69685 (or 69683 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101120211012 its reverse (210112021101), we get a palindrome (311232232113).

It can be divided in two parts, 10112021101 and 2, that multiplied together give a palindrome (20224042202).

The spelling of 101120211012 in words is "one hundred one billion, one hundred twenty million, two hundred eleven thousand, twelve".