101959948059 has 16 divisors (see below), whose sum is σ = 138984947712. Its totient is φ = 66457162688.

The previous prime is 101959948039. The next prime is 101959948061. The reversal of 101959948059 is 950849959101.

It is a cyclic number.

It is not a de Polignac number, because 101959948059 - 2¹² = 101959943963 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101959947993 and 101959948011.

It is not an unprimeable number, because it can be changed into a prime (101959948009) 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, 245019 + ... + 513764.

It is an arithmetic number, because the mean of its divisors is an integer number (8686559232).

Almost surely, 2^101959948059 is an apocalyptic number.

101959948059 is a deficient number, since it is larger than the sum of its proper divisors (37024999653).

101959948059 is an equidigital number, since it uses as much as digits as its factorization.

101959948059 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759786.

The product of its (nonzero) digits is 5248800, while the sum is 60.

The spelling of 101959948059 in words is "one hundred one billion, nine hundred fifty-nine million, nine hundred forty-eight thousand, fifty-nine".