10102101300 has 180 divisors, whose sum is σ = 33163641280. Its totient is φ = 2659625280.

The previous prime is 10102101263. The next prime is 10102101311. The reversal of 10102101300 is 310120101.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 632007 + ... + 647793.

Almost surely, 2^10102101300 is an apocalyptic number.

10102101300 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 10102101300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16581820640).

10102101300 is an abundant number, since it is smaller than the sum of its proper divisors (23061539980).

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

10102101300 is a wasteful number, since it uses less digits than its factorization.

10102101300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15892 (or 15876 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10102101300 its reverse (310120101), we get a palindrome (10412221401).

The spelling of 10102101300 in words is "ten billion, one hundred two million, one hundred one thousand, three hundred".