102001010320 has 80 divisors (see below), whose sum is σ = 265021787520. Its totient is φ = 36186598400.

The previous prime is 102001010261. The next prime is 102001010329. The reversal of 102001010320 is 23010100201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102001010320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 102001010297 and 102001010306.

It is not an unprimeable number, because it can be changed into a prime (102001010329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377460 + ... + 1449619.

It is an arithmetic number, because the mean of its divisors is an integer number (3312772344).

Almost surely, 2^102001010320 is an apocalyptic number.

102001010320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001010320 is an abundant number, since it is smaller than the sum of its proper divisors (163020777200).

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

102001010320 is a wasteful number, since it uses less digits than its factorization.

102001010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827144 (or 2827138 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 102001010320 its reverse (23010100201), we get a palindrome (125011110521).

It can be divided in two parts, 1020010 and 10320, that added together give a triangular number (1030330 = T₁₄₃₅).

The spelling of 102001010320 in words is "one hundred two billion, one million, ten thousand, three hundred twenty".