2111022022100 has 18 divisors (see below), whose sum is σ = 4580917788174. Its totient is φ = 844408808800.

The previous prime is 2111022022097. The next prime is 2111022022103. The reversal of 2111022022100 is 12202201112.

It is an interprime number because it is at equal distance from previous prime (2111022022097) and next prime (2111022022103).

It can be written as a sum of positive squares in 3 ways, for example, as 7031157904 + 2103990864196 = 83852^2 + 1450514^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111022022103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10555110011 + ... + 10555110210.

Almost surely, 2^{2111022022100} is an apocalyptic number.

2111022022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111022022100 is an abundant number, since it is smaller than the sum of its proper divisors (2469895766074).

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

2111022022100 is a wasteful number, since it uses less digits than its factorization.

2111022022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21110220235 (or 21110220228 counting only the distinct ones).

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

Adding to 2111022022100 its reverse (12202201112), we get a palindrome (2123224223212).

The spelling of 2111022022100 in words is "two trillion, one hundred eleven billion, twenty-two million, twenty-two thousand, one hundred".