102200203122120 has 48 divisors (see below), whose sum is σ = 332150660148060. Its totient is φ = 27253387499136.

The previous prime is 102200203122089. The next prime is 102200203122139. The reversal of 102200203122120 is 21221302002201.

102200203122120 is a `hidden beast` number, since 1 + 0 + 220 + 0 + 203 + 1 + 221 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98388267075396 + 3811936046724 = 9919086^2 + 1952418^2 .

It is a super-3 number, since 3×102200203122120³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102200203122093 and 102200203122102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141944726199 + ... + 141944726918.

Almost surely, 2^{102200203122120} is an apocalyptic number.

102200203122120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102200203122120 is an abundant number, since it is smaller than the sum of its proper divisors (229950457025940).

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

102200203122120 is a wasteful number, since it uses less digits than its factorization.

102200203122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283889453134 (or 283889453127 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102200203122120 its reverse (21221302002201), we get a palindrome (123421505124321).

The spelling of 102200203122120 in words is "one hundred two trillion, two hundred billion, two hundred three million, one hundred twenty-two thousand, one hundred twenty".