10100320302000 has 160 divisors (see below), whose sum is σ = 32583045980160. Its totient is φ = 2691796473600.

The previous prime is 10100320301993. The next prime is 10100320302013. The reversal of 10100320302000 is 20302300101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 9471871 + ... + 10484129.

It is an arithmetic number, because the mean of its divisors is an integer number (203644037376).

Almost surely, 2^{10100320302000} is an apocalyptic number.

10100320302000 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 10100320302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16291522990080).

10100320302000 is an abundant number, since it is smaller than the sum of its proper divisors (22482725678160).

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

10100320302000 is a wasteful number, since it uses less digits than its factorization.

10100320302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013948 (or 1013932 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10100320302000 its reverse (20302300101), we get a palindrome (10120622602101).

The spelling of 10100320302000 in words is "ten trillion, one hundred billion, three hundred twenty million, three hundred two thousand".