102102010100993 has 24 divisors (see below), whose sum is σ = 119438135470080. Its totient is φ = 87024993723360.

The previous prime is 102102010100927. The next prime is 102102010101011. The reversal of 102102010100993 is 399001010201201.

It is not a de Polignac number, because 102102010100993 - 2¹⁴ = 102102010084609 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102102010105993) 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, 443530880 + ... + 443761022.

It is an arithmetic number, because the mean of its divisors is an integer number (4976588977920).

Almost surely, 2^{102102010100993} is an apocalyptic number.

It is an amenable number.

102102010100993 is a deficient number, since it is larger than the sum of its proper divisors (17336125369087).

102102010100993 is a wasteful number, since it uses less digits than its factorization.

102102010100993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280917 (or 280910 counting only the distinct ones).

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

The spelling of 102102010100993 in words is "one hundred two trillion, one hundred two billion, ten million, one hundred thousand, nine hundred ninety-three".