101911109201 has 16 divisors (see below), whose sum is σ = 113569413120. Its totient is φ = 90660885120.

The previous prime is 101911109197. The next prime is 101911109207. The reversal of 101911109201 is 102901119101.

It is a cyclic number.

It is not a de Polignac number, because 101911109201 - 2² = 101911109197 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101911109207) 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, 4916 + ... + 451493.

It is an arithmetic number, because the mean of its divisors is an integer number (7098088320).

Almost surely, 2^101911109201 is an apocalyptic number.

101911109201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101911109201 is a deficient number, since it is larger than the sum of its proper divisors (11658303919).

101911109201 is a wasteful number, since it uses less digits than its factorization.

101911109201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456856.

The product of its (nonzero) digits is 162, while the sum is 26.

It can be divided in two parts, 101911 and 109201, that added together give a palindrome (211112).

The spelling of 101911109201 in words is "one hundred one billion, nine hundred eleven million, one hundred nine thousand, two hundred one".