10211515122120 has 256 divisors, whose sum is σ = 33326264160000. Its totient is φ = 2488076390400.

The previous prime is 10211515122041. The next prime is 10211515122187. The reversal of 10211515122120 is 2122151511201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 972612631 + ... + 972623129.

It is an arithmetic number, because the mean of its divisors is an integer number (130180719375).

Almost surely, 2^{10211515122120} is an apocalyptic number.

10211515122120 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 10211515122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16663132080000).

10211515122120 is an abundant number, since it is smaller than the sum of its proper divisors (23114749037880).

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

10211515122120 is a wasteful number, since it uses less digits than its factorization.

10211515122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16800 (or 16796 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 24.

Adding to 10211515122120 its reverse (2122151511201), we get a palindrome (12333666633321).

The spelling of 10211515122120 in words is "ten trillion, two hundred eleven billion, five hundred fifteen million, one hundred twenty-two thousand, one hundred twenty".