100760122000 has 80 divisors (see below), whose sum is σ = 257969707632. Its totient is φ = 37933209600.

The previous prime is 100760121997. The next prime is 100760122031. The reversal of 100760122000 is 221067001.

It can be written as a sum of positive squares in 8 ways, for example, as 7534934416 + 93225187584 = 86804^2 + 305328^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1447767 + ... + 1515766.

Almost surely, 2^100760122000 is an apocalyptic number.

100760122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100760122000 is an abundant number, since it is smaller than the sum of its proper divisors (157209585632).

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

100760122000 is a wasteful number, since it uses less digits than its factorization.

100760122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2963573 (or 2963557 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

Adding to 100760122000 its reverse (221067001), we get a palindrome (100981189001).

The spelling of 100760122000 in words is "one hundred billion, seven hundred sixty million, one hundred twenty-two thousand".