2110220212100 has 288 divisors, whose sum is σ = 6264287559936. Its totient is φ = 595679385600.

The previous prime is 2110220212099. The next prime is 2110220212123. The reversal of 2110220212100 is 12120220112.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5106422 + ... + 5504178.

It is an arithmetic number, because the mean of its divisors is an integer number (21750998472).

Almost surely, 2^{2110220212100} is an apocalyptic number.

2110220212100 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 2110220212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132143779968).

2110220212100 is an abundant number, since it is smaller than the sum of its proper divisors (4154067347836).

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

2110220212100 is a wasteful number, since it uses less digits than its factorization.

2110220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397855 (or 397848 counting only the distinct ones).

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

Adding to 2110220212100 its reverse (12120220112), we get a palindrome (2122340432212).

It can be divided in two parts, 21102 and 20212100, that added together give a palindrome (20233202).

The spelling of 2110220212100 in words is "two trillion, one hundred ten billion, two hundred twenty million, two hundred twelve thousand, one hundred".