102101012200200 has 192 divisors, whose sum is σ = 340890234128640. Its totient is φ = 25130349895680.

The previous prime is 102101012200181. The next prime is 102101012200207. The reversal of 102101012200200 is 2002210101201.

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

It is not an unprimeable number, because it can be changed into a prime (102101012200207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89154424 + ... + 90292376.

It is an arithmetic number, because the mean of its divisors is an integer number (1775469969420).

Almost surely, 2^{102101012200200} is an apocalyptic number.

102101012200200 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 102101012200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170445117064320).

102101012200200 is an abundant number, since it is smaller than the sum of its proper divisors (238789221928440).

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

102101012200200 is a wasteful number, since it uses less digits than its factorization.

102101012200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149488 (or 1149479 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102101012200200 its reverse (2002210101201), we get a palindrome (104103222301401).

The spelling of 102101012200200 in words is "one hundred two trillion, one hundred one billion, twelve million, two hundred thousand, two hundred".