101112021220000 has 240 divisors, whose sum is σ = 284434390259712. Its totient is φ = 34648951680000.

The previous prime is 101112021219977. The next prime is 101112021220033. The reversal of 101112021220000 is 22120211101.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 270433185 + ... + 270806815.

Almost surely, 2^{101112021220000} is an apocalyptic number.

101112021220000 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 101112021220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142217195129856).

101112021220000 is an abundant number, since it is smaller than the sum of its proper divisors (183322369039712).

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

101112021220000 is an equidigital number, since it uses as much as digits as its factorization.

101112021220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375601 (or 375578 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101112021220000 its reverse (22120211101), we get a palindrome (101134141431101).

The spelling of 101112021220000 in words is "one hundred one trillion, one hundred twelve billion, twenty-one million, two hundred twenty thousand".