10022011120 has 80 divisors (see below), whose sum is σ = 25510554720. Its totient is φ = 3631308800.

The previous prime is 10022011067. The next prime is 10022011121. The reversal of 10022011120 is 2111022001.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 10022011097 and 10022011106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10022011121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227016 + ... + 267544.

It is an arithmetic number, because the mean of its divisors is an integer number (318881934).

Almost surely, 2^10022011120 is an apocalyptic number.

10022011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12755277360).

10022011120 is an abundant number, since it is smaller than the sum of its proper divisors (15488543600).

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

10022011120 is a wasteful number, since it uses less digits than its factorization.

10022011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40834 (or 40828 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10022011120 its reverse (2111022001), we get a palindrome (12133033121).

The spelling of 10022011120 in words is "ten billion, twenty-two million, eleven thousand, one hundred twenty".