10207070100000 has 432 divisors, whose sum is σ = 36640162770120. Its totient is φ = 2694912000000.

The previous prime is 10207070099999. The next prime is 10207070100023. The reversal of 10207070100000 is 107070201.

It can be written as a sum of positive squares in 12 ways, for example, as 74587979664 + 10132482120336 = 273108^2 + 3183156^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90843856 + ... + 90956144.

Almost surely, 2^{10207070100000} is an apocalyptic number.

10207070100000 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 10207070100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320081385060).

10207070100000 is an abundant number, since it is smaller than the sum of its proper divisors (26433092670120).

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

10207070100000 is a wasteful number, since it uses less digits than its factorization.

10207070100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112431 (or 112400 counting only the distinct ones).

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

Adding to 10207070100000 its reverse (107070201), we get a palindrome (10207177170201).

The spelling of 10207070100000 in words is "ten trillion, two hundred seven billion, seventy million, one hundred thousand".