1020101120993 has 2 divisors, whose sum is σ = 1020101120994. Its totient is φ = 1020101120992.

The previous prime is 1020101120923. The next prime is 1020101121079. The reversal of 1020101120993 is 3990211010201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 955256026384 + 64845094609 = 977372^2 + 254647^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020101120993 - 2⁸ = 1020101120737 is a prime.

It is not a weakly prime, because it can be changed into another prime (1020101120903) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510050560496 + 510050560497.

It is an arithmetic number, because the mean of its divisors is an integer number (510050560497).

Almost surely, 2^{1020101120993} is an apocalyptic number.

It is an amenable number.

1020101120993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020101120993 is an equidigital number, since it uses as much as digits as its factorization.

1020101120993 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 1020101120993 in words is "one trillion, twenty billion, one hundred one million, one hundred twenty thousand, nine hundred ninety-three".