2120222212100 has 36 divisors (see below), whose sum is σ = 4624236975204. Its totient is φ = 843783857280.

The previous prime is 2120222212099. The next prime is 2120222212103. The reversal of 2120222212100 is 12122220212.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 7135518784 + 2113086693316 = 84472^2 + 1453646^2 .

It is a super-3 number, since 3×2120222212100³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2120222212103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53793047 + ... + 53832446.

It is an arithmetic number, because the mean of its divisors is an integer number (128451027089).

Almost surely, 2^{2120222212100} is an apocalyptic number.

2120222212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120222212100 is an abundant number, since it is smaller than the sum of its proper divisors (2504014763104).

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

2120222212100 is a wasteful number, since it uses less digits than its factorization.

2120222212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107625704 (or 107625697 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2120222212100 its reverse (12122220212), we get a palindrome (2132344432312).

The spelling of 2120222212100 in words is "two trillion, one hundred twenty billion, two hundred twenty-two million, two hundred twelve thousand, one hundred".