101141883801520 has 80 divisors (see below), whose sum is σ = 249044602402080. Its totient is φ = 38068215017472.

The previous prime is 101141883801449. The next prime is 101141883801521. The reversal of 101141883801520 is 25108388141101.

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

It is not an unprimeable number, because it can be changed into a prime (101141883801521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2589015 + ... + 14456374.

It is an arithmetic number, because the mean of its divisors is an integer number (3113057530026).

Almost surely, 2^{101141883801520} is an apocalyptic number.

101141883801520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101141883801520 is an abundant number, since it is smaller than the sum of its proper divisors (147902718600560).

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

101141883801520 is a wasteful number, since it uses less digits than its factorization.

101141883801520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17049782 (or 17049776 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 43.

The spelling of 101141883801520 in words is "one hundred one trillion, one hundred forty-one billion, eight hundred eighty-three million, eight hundred one thousand, five hundred twenty".