102413771270000 has 200 divisors, whose sum is σ = 253289032964352. Its totient is φ = 40084492000000.

The previous prime is 102413771269949. The next prime is 102413771270017. The reversal of 102413771270000 is 72177314201.

It is a tau number, because it is divible by the number of its divisors (200).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2204746775 + ... + 2204793225.

Almost surely, 2^{102413771270000} is an apocalyptic number.

102413771270000 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 102413771270000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126644516482176).

102413771270000 is an abundant number, since it is smaller than the sum of its proper divisors (150875261694352).

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

102413771270000 is an equidigital number, since it uses as much as digits as its factorization.

102413771270000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51217 (or 51196 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 35.

The spelling of 102413771270000 in words is "one hundred two trillion, four hundred thirteen billion, seven hundred seventy-one million, two hundred seventy thousand".