10121517120 has 448 divisors, whose sum is σ = 39984005376. Its totient is φ = 2131230720.

The previous prime is 10121517101. The next prime is 10121517127. The reversal of 10121517120 is 2171512101.

It is not an unprimeable number, because it can be changed into a prime (10121517127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2331592 + ... + 2335928.

It is an arithmetic number, because the mean of its divisors is an integer number (89250012).

Almost surely, 2^10121517120 is an apocalyptic number.

10121517120 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 10121517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19992002688).

10121517120 is an abundant number, since it is smaller than the sum of its proper divisors (29862488256).

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

10121517120 is a wasteful number, since it uses less digits than its factorization.

10121517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4398 (or 4388 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 21.

The spelling of 10121517120 in words is "ten billion, one hundred twenty-one million, five hundred seventeen thousand, one hundred twenty".