1010002020993 has 80 divisors (see below), whose sum is σ = 1743285371520. Its totient is φ = 570799954944.

The previous prime is 1010002020961. The next prime is 1010002021069. The reversal of 1010002020993 is 3990202000101.

1010002020993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010002020993 - 2⁵ = 1010002020961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1010002020193) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 91787830 + ... + 91798832.

It is an arithmetic number, because the mean of its divisors is an integer number (21791067144).

Almost surely, 2^{1010002020993} is an apocalyptic number.

It is an amenable number.

1010002020993 is a deficient number, since it is larger than the sum of its proper divisors (733283350527).

1010002020993 is a wasteful number, since it uses less digits than its factorization.

1010002020993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12788 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 1010002020993 in words is "one trillion, ten billion, two million, twenty thousand, nine hundred ninety-three".