101110100111016 has 128 divisors (see below), whose sum is σ = 254344740249600. Its totient is φ = 33494608224000.

The previous prime is 101110100110949. The next prime is 101110100111017. The reversal of 101110100111016 is 610111001011101.

It is a junction number, because it is equal to n+sod(n) for n = 101110100110986 and 101110100111004.

It is not an unprimeable number, because it can be changed into a prime (101110100111017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11663405530 + ... + 11663414198.

It is an arithmetic number, because the mean of its divisors is an integer number (1987068283200).

Almost surely, 2^{101110100111016} is an apocalyptic number.

It is an amenable number.

101110100111016 is an abundant number, since it is smaller than the sum of its proper divisors (153234640138584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101110100111016 is a wasteful number, since it uses less digits than its factorization.

101110100111016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11991 (or 11987 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 15.

Adding to 101110100111016 its reverse (610111001011101), we get a palindrome (711221101122117).

The spelling of 101110100111016 in words is "one hundred one trillion, one hundred ten billion, one hundred million, one hundred eleven thousand, sixteen".