200100111222102 has 256 divisors, whose sum is σ = 500101136640000. Its totient is φ = 52281811445760.

The previous prime is 200100111222019. The next prime is 200100111222113. The reversal of 200100111222102 is 201222111001002.

200100111222102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×200100111222102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6308111602 + ... + 6308143322.

It is an arithmetic number, because the mean of its divisors is an integer number (1953520065000).

Almost surely, 2^{200100111222102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200100111222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250050568320000).

200100111222102 is an abundant number, since it is smaller than the sum of its proper divisors (300001025417898).

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

200100111222102 is a wasteful number, since it uses less digits than its factorization.

200100111222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32408 (or 32382 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 200100111222102 its reverse (201222111001002), we get a palindrome (401322222223104).

The spelling of 200100111222102 in words is "two hundred trillion, one hundred billion, one hundred eleven million, two hundred twenty-two thousand, one hundred two".