10121010120 has 192 divisors, whose sum is σ = 35472593520. Its totient is φ = 2487877632.

The previous prime is 10121010113. The next prime is 10121010149. The reversal of 10121010120 is 2101012101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1826536644 + 8294473476 = 42738^2 + 91074^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5694672 + ... + 5696448.

Almost surely, 2^10121010120 is an apocalyptic number.

10121010120 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 10121010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17736296760).

10121010120 is an abundant number, since it is smaller than the sum of its proper divisors (25351583400).

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

10121010120 is a wasteful number, since it uses less digits than its factorization.

10121010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121010120 its reverse (2101012101), we get a palindrome (12222022221).

The spelling of 10121010120 in words is "ten billion, one hundred twenty-one million, ten thousand, one hundred twenty".