111210201010000 has 300 divisors, whose sum is σ = 285801163143012. Its totient is φ = 41762998784000.

The previous prime is 111210201009989. The next prime is 111210201010043. The reversal of 111210201010000 is 10102012111.

It can be written as a sum of positive squares in 10 ways, for example, as 32103691984144 + 79106509025856 = 5666012^2 + 8894184^2 .

It is a super-3 number, since 3×111210201010000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 113133469509 + ... + 113133470491.

Almost surely, 2^{111210201010000} is an apocalyptic number.

111210201010000 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 111210201010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142900581571506).

111210201010000 is an abundant number, since it is smaller than the sum of its proper divisors (174590962133012).

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

111210201010000 is an frugal number, since it uses more digits than its factorization.

111210201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2688 (or 1684 counting only the distinct ones).

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

Adding to 111210201010000 its reverse (10102012111), we get a palindrome (111220303022111).

The spelling of 111210201010000 in words is "one hundred eleven trillion, two hundred ten billion, two hundred one million, ten thousand".