101111100000000 has 1296 divisors, whose sum is σ = 351823319866368. Its totient is φ = 25760000000000.

The previous prime is 101111099999983. The next prime is 101111100000059. The reversal of 101111100000000 is 1111101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 1001099999950 + ... + 1001100000050.

It is an arithmetic number, because the mean of its divisors is an integer number (271468611008).

Almost surely, 2^{101111100000000} is an apocalyptic number.

101111100000000 is a gapful number since it is divisible by the number (10) 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 101111100000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175911659933184).

101111100000000 is an abundant number, since it is smaller than the sum of its proper divisors (250712219866368).

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

101111100000000 is an frugal number, since it uses more digits than its factorization.

101111100000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101111100000000 its reverse (1111101), we get a palindrome (101111101111101).

The spelling of 101111100000000 in words is "one hundred one trillion, one hundred eleven billion, one hundred million", and thus it is an aban number.