101148805520 has 80 divisors (see below), whose sum is σ = 268812461568. Its totient is φ = 34673702400.

The previous prime is 101148805507. The next prime is 101148805547. The reversal of 101148805520 is 25508841101.

It is a Cunningham number, because it is equal to 318039²-1.

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

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 4441202 + ... + 4463918.

Almost surely, 2^101148805520 is an apocalyptic number.

101148805520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101148805520 is an abundant number, since it is smaller than the sum of its proper divisors (167663656048).

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

101148805520 is a wasteful number, since it uses less digits than its factorization.

101148805520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30688 (or 30682 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 35.

The spelling of 101148805520 in words is "one hundred one billion, one hundred forty-eight million, eight hundred five thousand, five hundred twenty".