101601016105020 has 96 divisors (see below), whose sum is σ = 293666377568256. Its totient is φ = 26219021836800.

The previous prime is 101601016105009. The next prime is 101601016105033. The reversal of 101601016105020 is 20501610106101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84473665 + ... + 85667975.

It is an arithmetic number, because the mean of its divisors is an integer number (3059024766336).

Almost surely, 2^{101601016105020} is an apocalyptic number.

101601016105020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101601016105020 is an abundant number, since it is smaller than the sum of its proper divisors (192065361463236).

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

101601016105020 is a wasteful number, since it uses less digits than its factorization.

101601016105020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240091 (or 1240089 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 24.

The spelling of 101601016105020 in words is "one hundred one trillion, six hundred one billion, sixteen million, one hundred five thousand, twenty".