102210000200100 has 432 divisors, whose sum is σ = 347119790244864. Its totient is φ = 25006164480000.

The previous prime is 102210000200059. The next prime is 102210000200107. The reversal of 102210000200100 is 1002000012201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (102210000200107) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 2683855659 + ... + 2683893741.

Almost surely, 2^{102210000200100} is an apocalyptic number.

102210000200100 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 102210000200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173559895122432).

102210000200100 is an abundant number, since it is smaller than the sum of its proper divisors (244909790044764).

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

102210000200100 is a wasteful number, since it uses less digits than its factorization.

102210000200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39508 (or 39498 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210000200100 its reverse (1002000012201), we get a palindrome (103212000212301).

The spelling of 102210000200100 in words is "one hundred two trillion, two hundred ten billion, two hundred thousand, one hundred".