102200122201100 has 216 divisors, whose sum is σ = 279748506553824. Its totient is φ = 31722400512000.

The previous prime is 102200122201091. The next prime is 102200122201123. The reversal of 102200122201100 is 1102221002201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17909354 + ... + 22916046.

Almost surely, 2^{102200122201100} is an apocalyptic number.

102200122201100 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 102200122201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139874253276912).

102200122201100 is an abundant number, since it is smaller than the sum of its proper divisors (177548384352724).

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

102200122201100 is a wasteful number, since it uses less digits than its factorization.

102200122201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5006977 (or 5006959 counting only the distinct ones).

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

Adding to 102200122201100 its reverse (1102221002201), we get a palindrome (103302343203301).

The spelling of 102200122201100 in words is "one hundred two trillion, two hundred billion, one hundred twenty-two million, two hundred one thousand, one hundred".