1012120120100 has 72 divisors (see below), whose sum is σ = 2211379144968. Its totient is φ = 402075648000.

The previous prime is 1012120120069. The next prime is 1012120120129. The reversal of 1012120120100 is 10210212101.

It can be written as a sum of positive squares in 12 ways, for example, as 536494721764 + 475625398336 = 732458^2 + 689656^2 .

It is a super-2 number, since 2×1012120120100² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11555672 + ... + 11642928.

Almost surely, 2^{1012120120100} is an apocalyptic number.

1012120120100 is a gapful number since it is divisible by the number (10) 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 1012120120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105689572484).

1012120120100 is an abundant number, since it is smaller than the sum of its proper divisors (1199259024868).

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

1012120120100 is a wasteful number, since it uses less digits than its factorization.

1012120120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88065 (or 88058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1012120120100 its reverse (10210212101), we get a palindrome (1022330332201).

The spelling of 1012120120100 in words is "one trillion, twelve billion, one hundred twenty million, one hundred twenty thousand, one hundred".