101801013210099 has 48 divisors (see below), whose sum is σ = 170347716864000. Its totient is φ = 57378951609408.

The previous prime is 101801013210079. The next prime is 101801013210119. The reversal of 101801013210099 is 990012310108101.

It is an interprime number because it is at equal distance from previous prime (101801013210079) and next prime (101801013210119).

It is not a de Polignac number, because 101801013210099 - 2²⁸ = 101800744774643 is a prime.

It is a super-2 number, since 2×101801013210099² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101801013210079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5054199 + ... + 15137600.

It is an arithmetic number, because the mean of its divisors is an integer number (3548910768000).

Almost surely, 2^{101801013210099} is an apocalyptic number.

101801013210099 is a deficient number, since it is larger than the sum of its proper divisors (68546703653901).

101801013210099 is a wasteful number, since it uses less digits than its factorization.

101801013210099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20192904 (or 20192901 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 36.

The spelling of 101801013210099 in words is "one hundred one trillion, eight hundred one billion, thirteen million, two hundred ten thousand, ninety-nine".