102011200023300 has 144 divisors (see below), whose sum is σ = 313821906612480. Its totient is φ = 25495685949440.

The previous prime is 102011200023269. The next prime is 102011200023301. The reversal of 102011200023300 is 3320002110201.

It is a super-3 number, since 3×102011200023300³ (a number of 43 digits) contains 333 as substring.

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 102011200023300.

It is not an unprimeable number, because it can be changed into a prime (102011200023301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40626699 + ... + 43064498.

It is an arithmetic number, because the mean of its divisors is an integer number (2179318795920).

Almost surely, 2^{102011200023300} is an apocalyptic number.

102011200023300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011200023300 is an abundant number, since it is smaller than the sum of its proper divisors (211810706589180).

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

102011200023300 is a wasteful number, since it uses less digits than its factorization.

102011200023300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83691470 (or 83691463 counting only the distinct ones).

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

Adding to 102011200023300 its reverse (3320002110201), we get a palindrome (105331202133501).

The spelling of 102011200023300 in words is "one hundred two trillion, eleven billion, two hundred million, twenty-three thousand, three hundred".