10022121090 has 80 divisors (see below), whose sum is σ = 27317686968. Its totient is φ = 2635939584.

The previous prime is 10022121077. The next prime is 10022121091. The reversal of 10022121090 is 9012122001.

10022121090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9671345649 + 350775441 = 98343^2 + 18729^2 .

It is a super-2 number, since 2×10022121090² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10022121091) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 25617 + ... + 143876.

Almost surely, 2^10022121090 is an apocalyptic number.

10022121090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10022121090 is an abundant number, since it is smaller than the sum of its proper divisors (17295565878).

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

10022121090 is a wasteful number, since it uses less digits than its factorization.

10022121090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169585 (or 169576 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10022121090 its reverse (9012122001), we get a palindrome (19034243091).

The spelling of 10022121090 in words is "ten billion, twenty-two million, one hundred twenty-one thousand, ninety".