101260405520 has 80 divisors (see below), whose sum is σ = 236564524080. Its totient is φ = 40309358592.

The previous prime is 101260405507. The next prime is 101260405553. The reversal of 101260405520 is 25504062101.

It can be written as a sum of positive squares in 8 ways, for example, as 51342121744 + 49918283776 = 226588^2 + 223424^2 .

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

It is a super-3 number, since 3×101260405520³ (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101260405520.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36780464 + ... + 36783216.

It is an arithmetic number, because the mean of its divisors is an integer number (2957056551).

Almost surely, 2^101260405520 is an apocalyptic number.

101260405520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101260405520 is an abundant number, since it is smaller than the sum of its proper divisors (135304118560).

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

101260405520 is a wasteful number, since it uses less digits than its factorization.

101260405520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4812 (or 4806 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 101260405520 its reverse (25504062101), we get a palindrome (126764467621).

The spelling of 101260405520 in words is "one hundred one billion, two hundred sixty million, four hundred five thousand, five hundred twenty".