101302012002300 has 144 divisors (see below), whose sum is σ = 294498028003200. Its totient is φ = 26885370758400.

The previous prime is 101302012002299. The next prime is 101302012002319. The reversal of 101302012002300 is 3200210203101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101302012002300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51962571 + ... + 53876829.

Almost surely, 2^{101302012002300} is an apocalyptic number.

101302012002300 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 101302012002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147249014001600).

101302012002300 is an abundant number, since it is smaller than the sum of its proper divisors (193196016000900).

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

101302012002300 is a wasteful number, since it uses less digits than its factorization.

101302012002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1915116 (or 1915109 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 101302012002300 its reverse (3200210203101), we get a palindrome (104502222205401).

The spelling of 101302012002300 in words is "one hundred one trillion, three hundred two billion, twelve million, two thousand, three hundred".