10211100112000 has 256 divisors, whose sum is σ = 25533456530400. Its totient is φ = 4060987392000.

The previous prime is 10211100111967. The next prime is 10211100112043. The reversal of 10211100112000 is 21100111201.

It can be written as a sum of positive squares in 16 ways, for example, as 4478370158656 + 5732729953344 = 2116216^2 + 2394312^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3284366446 + ... + 3284369554.

Almost surely, 2^{10211100112000} is an apocalyptic number.

10211100112000 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 10211100112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766728265200).

10211100112000 is an abundant number, since it is smaller than the sum of its proper divisors (15322356418400).

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

10211100112000 is an equidigital number, since it uses as much as digits as its factorization.

10211100112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4230 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211100112000 its reverse (21100111201), we get a palindrome (10232200223201).

The spelling of 10211100112000 in words is "ten trillion, two hundred eleven billion, one hundred million, one hundred twelve thousand".