101001012020993 has 32 divisors (see below), whose sum is σ = 121881288672000. Its totient is φ = 81762166112256.

The previous prime is 101001012020983. The next prime is 101001012020999. The reversal of 101001012020993 is 399020210100101.

It is not a de Polignac number, because 101001012020993 - 2¹⁰ = 101001012019969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001012020999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68120255 + ... + 69587147.

It is an arithmetic number, because the mean of its divisors is an integer number (3808790271000).

Almost surely, 2^{101001012020993} is an apocalyptic number.

It is an amenable number.

101001012020993 is a deficient number, since it is larger than the sum of its proper divisors (20880276651007).

101001012020993 is a wasteful number, since it uses less digits than its factorization.

101001012020993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468521.

The product of its (nonzero) digits is 972, while the sum is 29.

The spelling of 101001012020993 in words is "one hundred one trillion, one billion, twelve million, twenty thousand, nine hundred ninety-three".