2100222201220 has 384 divisors, whose sum is σ = 5350580831232. Its totient is φ = 682463232000.

The previous prime is 2100222201179. The next prime is 2100222201247. The reversal of 2100222201220 is 221022220012.

It is a junction number, because it is equal to n+sod(n) for n = 2100222201194 and 2100222201203.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2888888497 + ... + 2888889223.

It is an arithmetic number, because the mean of its divisors is an integer number (13933804248).

Almost surely, 2^{2100222201220} is an apocalyptic number.

2100222201220 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 2100222201220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675290415616).

2100222201220 is an abundant number, since it is smaller than the sum of its proper divisors (3250358630012).

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

2100222201220 is a wasteful number, since it uses less digits than its factorization.

2100222201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2100222201220 its reverse (221022220012), we get a palindrome (2321244421232).

It can be divided in two parts, 21002 and 22201220, that added together give a palindrome (22222222).

The spelling of 2100222201220 in words is "two trillion, one hundred billion, two hundred twenty-two million, two hundred one thousand, two hundred twenty".