2111220102100 has 36 divisors (see below), whose sum is σ = 4581915744700. Its totient is φ = 844383317760.

The previous prime is 2111220102077. The next prime is 2111220102137. The reversal of 2111220102100 is 12010221112.

It can be written as a sum of positive squares in 6 ways, for example, as 26765614404 + 2084454487696 = 163602^2 + 1443764^2 .

It is a super-2 number, since 2×2111220102100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496095 + ... + 2113894.

Almost surely, 2^{2111220102100} is an apocalyptic number.

2111220102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111220102100 is an abundant number, since it is smaller than the sum of its proper divisors (2470695642600).

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

2111220102100 is a wasteful number, since it uses less digits than its factorization.

2111220102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2618092 (or 2618085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2111220102100 its reverse (12010221112), we get a palindrome (2123230323212).

The spelling of 2111220102100 in words is "two trillion, one hundred eleven billion, two hundred twenty million, one hundred two thousand, one hundred".