2110100100220 has 96 divisors (see below), whose sum is σ = 5116068292608. Its totient is φ = 716066203392.

The previous prime is 2110100100217. The next prime is 2110100100221. The reversal of 2110100100220 is 220010010112.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2110100100197 and 2110100100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2110100100221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28413577 + ... + 28487743.

It is an arithmetic number, because the mean of its divisors is an integer number (53292378048).

Almost surely, 2^{2110100100220} is an apocalyptic number.

2110100100220 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 2110100100220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2558034146304).

2110100100220 is an abundant number, since it is smaller than the sum of its proper divisors (3005968192388).

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

2110100100220 is a wasteful number, since it uses less digits than its factorization.

2110100100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76259 (or 76257 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2110100100220 its reverse (220010010112), we get a palindrome (2330110110332).

The spelling of 2110100100220 in words is "two trillion, one hundred ten billion, one hundred million, one hundred thousand, two hundred twenty".