101111916361 has 9 divisors (see below), whose sum is σ = 101500383981. Its totient is φ = 100724933484.

The previous prime is 101111916337. The next prime is 101111916391. The reversal of 101111916361 is 163619111101.

The square root of 101111916361 is 317981.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 101111916361 - 2⁵ = 101111916329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101111916331) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120514380 + ... + 120515218.

Almost surely, 2^101111916361 is an apocalyptic number.

101111916361 is the 317981-st square number.

101111916361 is the 158991-st centered octagonal number.

It is an amenable number.

101111916361 is a deficient number, since it is larger than the sum of its proper divisors (388467620).

101111916361 is an frugal number, since it uses more digits than its factorization.

101111916361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 31.

The spelling of 101111916361 in words is "one hundred one billion, one hundred eleven million, nine hundred sixteen thousand, three hundred sixty-one".