101012020759080 has 80 divisors (see below), whose sum is σ = 339512625340020. Its totient is φ = 26936538868224.

The previous prime is 101012020759079. The next prime is 101012020759103. The reversal of 101012020759080 is 80957020210101.

It is a happy number.

101012020759080 is a `hidden beast` number, since 10 + 10 + 1 + 20 + 20 + 7 + 590 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 84011193040644 + 17000827718436 = 9165762^2 + 4123206^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 15588271569 + ... + 15588278048.

Almost surely, 2^{101012020759080} is an apocalyptic number.

101012020759080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012020759080 is an abundant number, since it is smaller than the sum of its proper divisors (238500604580940).

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

101012020759080 is a wasteful number, since it uses less digits than its factorization.

101012020759080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31176549640 (or 31176549627 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 101012020759080 its reverse (80957020210101), we get a palindrome (181969040969181).

The spelling of 101012020759080 in words is "one hundred one trillion, twelve billion, twenty million, seven hundred fifty-nine thousand, eighty".