101111110099456 has 80 divisors (see below), whose sum is σ = 202891749882624. Its totient is φ = 50338777636864.

The previous prime is 101111110099451. The next prime is 101111110099457. The reversal of 101111110099456 is 654990011111101.

It is a super-2 number, since 2×101111110099456² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101111110099451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 277613340 + ... + 277977316.

Almost surely, 2^{101111110099456} is an apocalyptic number.

101111110099456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111110099456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101445874941312).

101111110099456 is an abundant number, since it is smaller than the sum of its proper divisors (101780639783168).

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

101111110099456 is an equidigital number, since it uses as much as digits as its factorization.

101111110099456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366321 (or 366305 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 40.

The spelling of 101111110099456 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, ninety-nine thousand, four hundred fifty-six".