1020012100993 has 16 divisors (see below), whose sum is σ = 1053160644096. Its totient is φ = 987295276800.

The previous prime is 1020012100973. The next prime is 1020012101027. The reversal of 1020012100993 is 3990012100201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020012100993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020012100963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32544496 + ... + 32575822.

It is an arithmetic number, because the mean of its divisors is an integer number (65822540256).

Almost surely, 2^{1020012100993} is an apocalyptic number.

It is an amenable number.

1020012100993 is a deficient number, since it is larger than the sum of its proper divisors (33148543103).

1020012100993 is a wasteful number, since it uses less digits than its factorization.

1020012100993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38184.

The product of its (nonzero) digits is 972, while the sum is 28.

The spelling of 1020012100993 in words is "one trillion, twenty billion, twelve million, one hundred thousand, nine hundred ninety-three".