10202121312320 has 224 divisors, whose sum is σ = 30496308019200. Its totient is φ = 3169694398464.

The previous prime is 10202121312281. The next prime is 10202121312329. The reversal of 10202121312320 is 2321312120201.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10202121312292 and 10202121312301.

It is not an unprimeable number, because it can be changed into a prime (10202121312329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4232240 + ... + 6189999.

Almost surely, 2^{10202121312320} is an apocalyptic number.

10202121312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202121312320 is an abundant number, since it is smaller than the sum of its proper divisors (20294186706880).

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

10202121312320 is a wasteful number, since it uses less digits than its factorization.

10202121312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10422305 (or 10422295 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10202121312320 its reverse (2321312120201), we get a palindrome (12523433432521).

The spelling of 10202121312320 in words is "ten trillion, two hundred two billion, one hundred twenty-one million, three hundred twelve thousand, three hundred twenty".