102001011222200 has 192 divisors, whose sum is σ = 240588656028000. Its totient is φ = 40213276416000.

The previous prime is 102001011222197. The next prime is 102001011222221. The reversal of 102001011222200 is 2222110100201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4321515599 + ... + 4321539201.

Almost surely, 2^{102001011222200} is an apocalyptic number.

102001011222200 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 102001011222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120294328014000).

102001011222200 is an abundant number, since it is smaller than the sum of its proper divisors (138587644805800).

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

102001011222200 is a wasteful number, since it uses less digits than its factorization.

102001011222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24682 (or 24673 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102001011222200 its reverse (2222110100201), we get a palindrome (104223121322401).

The spelling of 102001011222200 in words is "one hundred two trillion, one billion, eleven million, two hundred twenty-two thousand, two hundred".