101001010009968 has 120 divisors (see below), whose sum is σ = 283468225622400. Its totient is φ = 33571053988992.

The previous prime is 101001010009967. The next prime is 101001010010027. The reversal of 101001010009968 is 869900010100101.

101001010009968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101001010009968² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001010009967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 933523971 + ... + 933632157.

It is an arithmetic number, because the mean of its divisors is an integer number (2362235213520).

Almost surely, 2^{101001010009968} is an apocalyptic number.

101001010009968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001010009968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141734112811200).

101001010009968 is an abundant number, since it is smaller than the sum of its proper divisors (182467215612432).

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

101001010009968 is a wasteful number, since it uses less digits than its factorization.

101001010009968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126619 (or 126610 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 101001010009968 in words is "one hundred one trillion, one billion, ten million, nine thousand, nine hundred sixty-eight".