10102001312320 has 56 divisors (see below), whose sum is σ = 24056620571448. Its totient is φ = 4040593920000.

The previous prime is 10102001312297. The next prime is 10102001312327. The reversal of 10102001312320 is 2321310020101.

It can be written as a sum of positive squares in 4 ways, for example, as 1434111631936 + 8667889680384 = 1197544^2 + 2944128^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 10102001312294 and 10102001312303.

It is not an unprimeable number, because it can be changed into a prime (10102001312327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5539170 + ... + 7133470.

Almost surely, 2^{10102001312320} is an apocalyptic number.

10102001312320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102001312320 is an abundant number, since it is smaller than the sum of its proper divisors (13954619259128).

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

10102001312320 is a wasteful number, since it uses less digits than its factorization.

10102001312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1614119 (or 1614109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 10102001312320 its reverse (2321310020101), we get a palindrome (12423311332421).

The spelling of 10102001312320 in words is "ten trillion, one hundred two billion, one million, three hundred twelve thousand, three hundred twenty".