10072070100 has 54 divisors (see below), whose sum is σ = 31570346990. Its totient is φ = 2685885120.

The previous prime is 10072070081. The next prime is 10072070119. The reversal of 10072070100 is 107027001.

It is an interprime number because it is at equal distance from previous prime (10072070081) and next prime (10072070119).

It can be written as a sum of positive squares in 3 ways, for example, as 1486565136 + 8585504964 = 38556^2 + 92658^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5594695 + ... + 5596494.

Almost surely, 2^10072070100 is an apocalyptic number.

10072070100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072070100 is an abundant number, since it is smaller than the sum of its proper divisors (21498276890).

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

10072070100 is a wasteful number, since it uses less digits than its factorization.

10072070100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11191209 (or 11191199 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

Adding to 10072070100 its reverse (107027001), we get a palindrome (10179097101).

It can be divided in two parts, 100720 and 70100, that added together give a triangular number (170820 = T₅₈₄).

The spelling of 10072070100 in words is "ten billion, seventy-two million, seventy thousand, one hundred".