101887745993 has 16 divisors (see below), whose sum is σ = 117413779200. Its totient is φ = 87440089680.

The previous prime is 101887745903. The next prime is 101887746089. The reversal of 101887745993 is 399547788101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101887745993 - 2¹⁸ = 101887483849 is a prime.

It is a super-2 number, since 2×101887745993² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101887745903) 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, 802163 + ... + 920456.

It is an arithmetic number, because the mean of its divisors is an integer number (7338361200).

Almost surely, 2^101887745993 is an apocalyptic number.

It is an amenable number.

101887745993 is a deficient number, since it is larger than the sum of its proper divisors (15526033207).

101887745993 is a wasteful number, since it uses less digits than its factorization.

101887745993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722932.

The product of its (nonzero) digits is 15240960, while the sum is 62.

The spelling of 101887745993 in words is "one hundred one billion, eight hundred eighty-seven million, seven hundred forty-five thousand, nine hundred ninety-three".