1012310212100 has 108 divisors (see below), whose sum is σ = 2427914423844. Its totient is φ = 366078240000.

The previous prime is 1012310212091. The next prime is 1012310212159. The reversal of 1012310212100 is 12120132101.

It can be written as a sum of positive squares in 6 ways, for example, as 523854593284 + 488455618816 = 723778^2 + 698896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1958990 + ... + 2421210.

Almost surely, 2^{1012310212100} is an apocalyptic number.

1012310212100 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 1012310212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1213957211922).

1012310212100 is an abundant number, since it is smaller than the sum of its proper divisors (1415604211744).

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

1012310212100 is a wasteful number, since it uses less digits than its factorization.

1012310212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 462438 (or 462420 counting only the distinct ones).

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

Adding to 1012310212100 its reverse (12120132101), we get a palindrome (1024430344201).

The spelling of 1012310212100 in words is "one trillion, twelve billion, three hundred ten million, two hundred twelve thousand, one hundred".