102200222200120 has 256 divisors, whose sum is σ = 254462831769600. Its totient is φ = 36632851200000.

The previous prime is 102200222200117. The next prime is 102200222200123. The reversal of 102200222200120 is 21002222002201.

It is an interprime number because it is at equal distance from previous prime (102200222200117) and next prime (102200222200123).

It is a junction number, because it is equal to n+sod(n) for n = 102200222200094 and 102200222200103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200222200123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10322207170 + ... + 10322217070.

It is an arithmetic number, because the mean of its divisors is an integer number (993995436600).

Almost surely, 2^{102200222200120} is an apocalyptic number.

102200222200120 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 102200222200120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127231415884800).

102200222200120 is an abundant number, since it is smaller than the sum of its proper divisors (152262609569480).

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

102200222200120 is a wasteful number, since it uses less digits than its factorization.

102200222200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11030 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102200222200120 its reverse (21002222002201), we get a palindrome (123202444202321).

The spelling of 102200222200120 in words is "one hundred two trillion, two hundred billion, two hundred twenty-two million, two hundred thousand, one hundred twenty".