2010021221120 has 288 divisors, whose sum is σ = 5384935987200. Its totient is φ = 712583659520.

The previous prime is 2010021221101. The next prime is 2010021221137. The reversal of 2010021221120 is 211221200102.

It is a junction number, because it is equal to n+sod(n) for n = 2010021221095 and 2010021221104.

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, 174037106 + ... + 174048654.

It is an arithmetic number, because the mean of its divisors is an integer number (18697694400).

Almost surely, 2^{2010021221120} is an apocalyptic number.

2010021221120 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 2010021221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2692467993600).

2010021221120 is an abundant number, since it is smaller than the sum of its proper divisors (3374914766080).

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

2010021221120 is a wasteful number, since it uses less digits than its factorization.

2010021221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11891 (or 11877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010021221120 its reverse (211221200102), we get a palindrome (2221242421222).

The spelling of 2010021221120 in words is "two trillion, ten billion, twenty-one million, two hundred twenty-one thousand, one hundred twenty".