10011211120 has 40 divisors (see below), whose sum is σ = 23306477040. Its totient is φ = 3999252480.

The previous prime is 10011211117. The next prime is 10011211139. The reversal of 10011211120 is 2111211001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10011211097 and 10011211106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19846 + ... + 142885.

It is an arithmetic number, because the mean of its divisors is an integer number (582661926).

Almost surely, 2^10011211120 is an apocalyptic number.

10011211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211120 is an abundant number, since it is smaller than the sum of its proper divisors (13295265920).

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

10011211120 is a wasteful number, since it uses less digits than its factorization.

10011211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163513 (or 163507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10011211120 its reverse (2111211001), we get a palindrome (12122422121).

It can be divided in two parts, 1001 and 1211120, that added together give a palindrome (1212121).

The spelling of 10011211120 in words is "ten billion, eleven million, two hundred eleven thousand, one hundred twenty".