20100110100000 has 576 divisors, whose sum is σ = 76103161085952. Its totient is φ = 4549656960000.

The previous prime is 20100110099969. The next prime is 20100110100019. The reversal of 20100110100000 is 101100102.

It is a super-3 number, since 3×20100110100000³ (a number of 41 digits) contains 333 as substring.

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 95 ways as a sum of consecutive naturals, for example, 216253537 + ... + 216346463.

It is an arithmetic number, because the mean of its divisors is an integer number (132123543552).

Almost surely, 2^{20100110100000} is an apocalyptic number.

20100110100000 is a gapful number since it is divisible by the number (20) 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 20100110100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38051580542976).

20100110100000 is an abundant number, since it is smaller than the sum of its proper divisors (56003050985952).

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

20100110100000 is an equidigital number, since it uses as much as digits as its factorization.

20100110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93075 (or 93047 counting only the distinct ones).

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

Adding to 20100110100000 its reverse (101100102), we get a palindrome (20100211200102).

The spelling of 20100110100000 in words is "twenty trillion, one hundred billion, one hundred ten million, one hundred thousand".