102102200101120 has 36 divisors (see below), whose sum is σ = 244566676182780. Its totient is φ = 40840880039936.

The previous prime is 102102200101117. The next prime is 102102200101123. The reversal of 102102200101120 is 21101002201201.

It is an interprime number because it is at equal distance from previous prime (102102200101117) and next prime (102102200101123).

It can be written as a sum of positive squares in 2 ways, for example, as 26727576496384 + 75374623604736 = 5169872^2 + 8681856^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 102102200101120.

It is not an unprimeable number, because it can be changed into a prime (102102200101123) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39883670635 + ... + 39883673194.

It is an arithmetic number, because the mean of its divisors is an integer number (6793518782855).

Almost surely, 2^{102102200101120} is an apocalyptic number.

102102200101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102200101120 is an abundant number, since it is smaller than the sum of its proper divisors (142464476081660).

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

102102200101120 is an frugal number, since it uses more digits than its factorization.

102102200101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79767343850 (or 79767343836 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102102200101120 its reverse (21101002201201), we get a palindrome (123203202302321).

The spelling of 102102200101120 in words is "one hundred two trillion, one hundred two billion, two hundred million, one hundred one thousand, one hundred twenty".