101006620720032 has 48 divisors (see below), whose sum is σ = 269488975789152. Its totient is φ = 33116924824320.

The previous prime is 101006620719997. The next prime is 101006620720069. The reversal of 101006620720032 is 230027026600101.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8624193318 + ... + 8624205029.

It is an arithmetic number, because the mean of its divisors is an integer number (5614353662274).

Almost surely, 2^{101006620720032} is an apocalyptic number.

101006620720032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101006620720032 is an abundant number, since it is smaller than the sum of its proper divisors (168482355069120).

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

101006620720032 is a wasteful number, since it uses less digits than its factorization.

101006620720032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17248398421 (or 17248398413 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 101006620720032 in words is "one hundred one trillion, six billion, six hundred twenty million, seven hundred twenty thousand, thirty-two".