10110122121020 has 96 divisors (see below), whose sum is σ = 22855667788800. Its totient is φ = 3745254240000.

The previous prime is 10110122121013. The next prime is 10110122121059. The reversal of 10110122121020 is 2012122101101.

It is a junction number, because it is equal to n+sod(n) for n = 10110122120986 and 10110122121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1364795 + ... + 4699245.

It is an arithmetic number, because the mean of its divisors is an integer number (238079872800).

Almost surely, 2^{10110122121020} is an apocalyptic number.

10110122121020 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 10110122121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427833894400).

10110122121020 is an abundant number, since it is smaller than the sum of its proper divisors (12745545667780).

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

10110122121020 is a wasteful number, since it uses less digits than its factorization.

10110122121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334659 (or 3334657 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10110122121020 its reverse (2012122101101), we get a palindrome (12122244222121).

The spelling of 10110122121020 in words is "ten trillion, one hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty".