10122112090 has 32 divisors (see below), whose sum is σ = 19161722880. Its totient is φ = 3842302464.

The previous prime is 10122111991. The next prime is 10122112109. The reversal of 10122112090 is 9021122101.

It is a happy number.

10122112090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144055 + ... + 202474.

It is an arithmetic number, because the mean of its divisors is an integer number (598803840).

Almost surely, 2^10122112090 is an apocalyptic number.

10122112090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10122112090 is a deficient number, since it is larger than the sum of its proper divisors (9039610790).

10122112090 is a wasteful number, since it uses less digits than its factorization.

10122112090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346686.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 10122112090 its reverse (9021122101), we get a palindrome (19143234191).

It can be divided in two parts, 101221 and 12090, that added together give a palindrome (113311).

The spelling of 10122112090 in words is "ten billion, one hundred twenty-two million, one hundred twelve thousand, ninety".