102000202201300 has 288 divisors, whose sum is σ = 241230180280320. Its totient is φ = 37212561561600.

The previous prime is 102000202201291. The next prime is 102000202201319. The reversal of 102000202201300 is 3102202000201.

It is a super-3 number, since 3×102000202201300³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28805477530 + ... + 28805481070.

It is an arithmetic number, because the mean of its divisors is an integer number (837604792640).

Almost surely, 2^{102000202201300} is an apocalyptic number.

102000202201300 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 102000202201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120615090140160).

102000202201300 is an abundant number, since it is smaller than the sum of its proper divisors (139229978079020).

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

102000202201300 is a wasteful number, since it uses less digits than its factorization.

102000202201300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4491 (or 4484 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 102000202201300 its reverse (3102202000201), we get a palindrome (105102404201501).

The spelling of 102000202201300 in words is "one hundred two trillion, two hundred two million, two hundred one thousand, three hundred".