1010020313100 has 144 divisors (see below), whose sum is σ = 3042423446048. Its totient is φ = 258469263360.

The previous prime is 1010020313089. The next prime is 1010020313129. The reversal of 1010020313100 is 13130200101.

1010020313100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010020313100² (a number of 25 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 47 ways as a sum of consecutive naturals, for example, 187062 + ... + 1433538.

Almost surely, 2^{1010020313100} is an apocalyptic number.

1010020313100 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 1010020313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521211723024).

1010020313100 is an abundant number, since it is smaller than the sum of its proper divisors (2032403132948).

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

1010020313100 is a wasteful number, since it uses less digits than its factorization.

1010020313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246604 (or 1246597 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1010020313100 its reverse (13130200101), we get a palindrome (1023150513201).

The spelling of 1010020313100 in words is "one trillion, ten billion, twenty million, three hundred thirteen thousand, one hundred".