102200300201120 has 192 divisors, whose sum is σ = 278083865404800. Its totient is φ = 35103280988160.

The previous prime is 102200300201071. The next prime is 102200300201161. The reversal of 102200300201120 is 21102003002201.

It is a happy number.

It is a super-2 number, since 2×102200300201120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102200300201095 and 102200300201104.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6734816 + ... + 15803744.

It is an arithmetic number, because the mean of its divisors is an integer number (1448353465650).

Almost surely, 2^{102200300201120} is an apocalyptic number.

102200300201120 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 102200300201120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139041932702400).

102200300201120 is an abundant number, since it is smaller than the sum of its proper divisors (175883565203680).

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

102200300201120 is a wasteful number, since it uses less digits than its factorization.

102200300201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9069311 (or 9069303 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 102200300201120 its reverse (21102003002201), we get a palindrome (123302303203321).

The spelling of 102200300201120 in words is "one hundred two trillion, two hundred billion, three hundred million, two hundred one thousand, one hundred twenty".