102101222000200 has 48 divisors (see below), whose sum is σ = 237410420586480. Its totient is φ = 40836174058560.

The previous prime is 102101222000189. The next prime is 102101222000203. The reversal of 102101222000200 is 2000222101201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102101222000203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25069002 + ... + 28855801.

It is an arithmetic number, because the mean of its divisors is an integer number (4946050428885).

Almost surely, 2^{102101222000200} is an apocalyptic number.

102101222000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101222000200 is an abundant number, since it is smaller than the sum of its proper divisors (135309198586280).

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

102101222000200 is a wasteful number, since it uses less digits than its factorization.

102101222000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53934286 (or 53934277 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102101222000200 its reverse (2000222101201), we get a palindrome (104101444101401).

The spelling of 102101222000200 in words is "one hundred two trillion, one hundred one billion, two hundred twenty-two million, two hundred", and thus it is an aban number.