211120120100 has 18 divisors (see below), whose sum is σ = 458130660834. Its totient is φ = 84448048000.

The previous prime is 211120120093. The next prime is 211120120121. The reversal of 211120120100 is 1021021112.

It can be written as a sum of positive squares in 3 ways, for example, as 87616 + 211120032484 = 296^2 + 459478^2 .

It is a super-2 number, since 2×211120120100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1055600501 + ... + 1055600700.

Almost surely, 2^211120120100 is an apocalyptic number.

211120120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211120120100 is an abundant number, since it is smaller than the sum of its proper divisors (247010540734).

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

211120120100 is a wasteful number, since it uses less digits than its factorization.

211120120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111201215 (or 2111201208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 211120120100 its reverse (1021021112), we get a palindrome (212141141212).

The spelling of 211120120100 in words is "two hundred eleven billion, one hundred twenty million, one hundred twenty thousand, one hundred".