2101120010022 has 128 divisors (see below), whose sum is σ = 4914136138752. Its totient is φ = 597526575360.

The previous prime is 2101120009943. The next prime is 2101120010027. The reversal of 2101120010022 is 2200100211012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101120010027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9627018 + ... + 9842850.

It is an arithmetic number, because the mean of its divisors is an integer number (38391688584).

Almost surely, 2^{2101120010022} is an apocalyptic number.

2101120010022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101120010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2457068069376).

2101120010022 is an abundant number, since it is smaller than the sum of its proper divisors (2813016128730).

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

2101120010022 is a wasteful number, since it uses less digits than its factorization.

2101120010022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215947 (or 215925 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2101120010022 its reverse (2200100211012), we get a palindrome (4301220221034).

The spelling of 2101120010022 in words is "two trillion, one hundred one billion, one hundred twenty million, ten thousand, twenty-two".