102200000120022 has 256 divisors, whose sum is σ = 255136263782400. Its totient is φ = 26639152058880.

The previous prime is 102200000120011. The next prime is 102200000120123. The reversal of 102200000120022 is 220021000002201.

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 127 ways as a sum of consecutive naturals, for example, 6018482772 + ... + 6018499752.

It is an arithmetic number, because the mean of its divisors is an integer number (996626030400).

Almost surely, 2^{102200000120022} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102200000120022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127568131891200).

102200000120022 is an abundant number, since it is smaller than the sum of its proper divisors (152936263662378).

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

102200000120022 is a wasteful number, since it uses less digits than its factorization.

102200000120022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19131.

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102200000120022 its reverse (220021000002201), we get a palindrome (322221000122223).

The spelling of 102200000120022 in words is "one hundred two trillion, two hundred billion, one hundred twenty thousand, twenty-two".