102101122200 has 384 divisors, whose sum is σ = 398539491840. Its totient is φ = 21004800000.

The previous prime is 102101122199. The next prime is 102101122231. The reversal of 102101122200 is 2221101201.

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 95 ways as a sum of consecutive naturals, for example, 4655260 + ... + 4677140.

It is an arithmetic number, because the mean of its divisors is an integer number (1037863260).

Almost surely, 2^102101122200 is an apocalyptic number.

102101122200 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 102101122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199269745920).

102101122200 is an abundant number, since it is smaller than the sum of its proper divisors (296438369640).

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

102101122200 is a wasteful number, since it uses less digits than its factorization.

102101122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22019 (or 22010 counting only the distinct ones).

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

Adding to 102101122200 its reverse (2221101201), we get a palindrome (104322223401).

The spelling of 102101122200 in words is "one hundred two billion, one hundred one million, one hundred twenty-two thousand, two hundred".