10121120020 has 72 divisors (see below), whose sum is σ = 23519853000. Its totient is φ = 3655576320.

The previous prime is 10121120011. The next prime is 10121120021. The reversal of 10121120020 is 2002112101.

It can be written as a sum of positive squares in 4 ways, for example, as 114318864 + 10006801156 = 10692^2 + 100034^2 .

It is a super-3 number, since 3×10121120020³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10121119979 and 10121120006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121120021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 346546 + ... + 374614.

It is an arithmetic number, because the mean of its divisors is an integer number (326664625).

Almost surely, 2^10121120020 is an apocalyptic number.

10121120020 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 10121120020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11759926500).

10121120020 is an abundant number, since it is smaller than the sum of its proper divisors (13398732980).

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

10121120020 is a wasteful number, since it uses less digits than its factorization.

10121120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28249 (or 28236 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10121120020 its reverse (2002112101), we get a palindrome (12123232121).

The spelling of 10121120020 in words is "ten billion, one hundred twenty-one million, one hundred twenty thousand, twenty".