10122111211020 has 96 divisors (see below), whose sum is σ = 29003546111232. Its totient is φ = 2636227738368.

The previous prime is 10122111211019. The next prime is 10122111211031. The reversal of 10122111211020 is 2011211122101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30596814 + ... + 30925866.

It is an arithmetic number, because the mean of its divisors is an integer number (302120271992).

Almost surely, 2^{10122111211020} is an apocalyptic number.

10122111211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122111211020 is an abundant number, since it is smaller than the sum of its proper divisors (18881434900212).

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

10122111211020 is a wasteful number, since it uses less digits than its factorization.

10122111211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341031 (or 341029 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 10122111211020 its reverse (2011211122101), we get a palindrome (12133322333121).

The spelling of 10122111211020 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, two hundred eleven thousand, twenty".