102361341370000 has 100 divisors (see below), whose sum is σ = 248244978787740. Its totient is φ = 40875487744000.

The previous prime is 102361341369971. The next prime is 102361341370003. The reversal of 102361341370000 is 73143163201.

It can be written as a sum of positive squares in 10 ways, for example, as 83058288231424 + 19303053138576 = 9113632^2 + 4393524^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a super-3 number, since 3×102361341370000³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102361341370003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2700805 + ... + 14560804.

Almost surely, 2^{102361341370000} is an apocalyptic number.

102361341370000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102361341370000 is an abundant number, since it is smaller than the sum of its proper divisors (145883637417740).

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

102361341370000 is an equidigital number, since it uses as much as digits as its factorization.

102361341370000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17262230 (or 17262209 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The spelling of 102361341370000 in words is "one hundred two trillion, three hundred sixty-one billion, three hundred forty-one million, three hundred seventy thousand".