101302102200 has 192 divisors, whose sum is σ = 343738936800. Its totient is φ = 24527001600.

The previous prime is 101302102177. The next prime is 101302102273. The reversal of 101302102200 is 2201203101.

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

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, 369346 + ... + 582254.

Almost surely, 2^101302102200 is an apocalyptic number.

101302102200 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 101302102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171869468400).

101302102200 is an abundant number, since it is smaller than the sum of its proper divisors (242436834600).

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

101302102200 is a wasteful number, since it uses less digits than its factorization.

101302102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213002 (or 212993 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101302102200 its reverse (2201203101), we get a palindrome (103503305301).

The spelling of 101302102200 in words is "one hundred one billion, three hundred two million, one hundred two thousand, two hundred".