101110002000000 has 896 divisors, whose sum is σ = 384407579520000. Its totient is φ = 23066534400000.

The previous prime is 101110001999953. The next prime is 101110002000011. The reversal of 101110002000000 is 200011101.

101110002000000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

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 an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 25157997991 + ... + 25158002009.

Almost surely, 2^{101110002000000} is an apocalyptic number.

101110002000000 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 101110002000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192203789760000).

101110002000000 is an abundant number, since it is smaller than the sum of its proper divisors (283297577520000).

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

101110002000000 is an frugal number, since it uses more digits than its factorization.

101110002000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4672 (or 4635 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101110002000000 its reverse (200011101), we get a palindrome (101110202011101).

The spelling of 101110002000000 in words is "one hundred one trillion, one hundred ten billion, two million", and thus it is an aban number.