100211120 has 20 divisors (see below), whose sum is σ = 232991040. Its totient is φ = 40084416.

The previous prime is 100211117. The next prime is 100211131. The reversal of 100211120 is 21112001.

It is a tau number, because it is divible by the number of its divisors (20).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 100211098 and 100211107.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 626240 + ... + 626399.

It is an arithmetic number, because the mean of its divisors is an integer number (11649552).

Almost surely, 2^100211120 is an apocalyptic number.

100211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211120 is an abundant number, since it is smaller than the sum of its proper divisors (132779920).

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

100211120 is a wasteful number, since it uses less digits than its factorization.

100211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252652 (or 1252646 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 100211120 is about 10010.5504344167. The cubic root of 100211120 is about 464.4852978384.

Adding to 100211120 its reverse (21112001), we get a palindrome (121323121).

The spelling of 100211120 in words is "one hundred million, two hundred eleven thousand, one hundred twenty".