10010121110990 has 512 divisors, whose sum is σ = 25385342976000. Its totient is φ = 2742261350400.

The previous prime is 10010121110989. The next prime is 10010121111049. The reversal of 10010121110990 is 9901112101001.

10010121110990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2885590976 + ... + 2885594444.

It is an arithmetic number, because the mean of its divisors is an integer number (49580748000).

Almost surely, 2^{10010121110990} is an apocalyptic number.

10010121110990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10010121110990 is an abundant number, since it is smaller than the sum of its proper divisors (15375221865010).

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

10010121110990 is a wasteful number, since it uses less digits than its factorization.

10010121110990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716.

The product of its (nonzero) digits is 162, while the sum is 26.

Adding to 10010121110990 its reverse (9901112101001), we get a palindrome (19911233211991).

The spelling of 10010121110990 in words is "ten trillion, ten billion, one hundred twenty-one million, one hundred ten thousand, nine hundred ninety".