10121322122320 has 160 divisors (see below), whose sum is σ = 24148723382784. Its totient is φ = 3942998438400.

The previous prime is 10121322122287. The next prime is 10121322122347. The reversal of 10121322122320 is 2322122312101.

It is a junction number, because it is equal to n+sod(n) for n = 10121322122291 and 10121322122300.

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, 2142983479 + ... + 2142988201.

Almost surely, 2^{10121322122320} is an apocalyptic number.

10121322122320 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 10121322122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12074361691392).

10121322122320 is an abundant number, since it is smaller than the sum of its proper divisors (14027401260464).

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

10121322122320 is a wasteful number, since it uses less digits than its factorization.

10121322122320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6441 (or 6435 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 10121322122320 its reverse (2322122312101), we get a palindrome (12443444434421).

The spelling of 10121322122320 in words is "ten trillion, one hundred twenty-one billion, three hundred twenty-two million, one hundred twenty-two thousand, three hundred twenty".