102140330201040 has 320 divisors, whose sum is σ = 334596459456000. Its totient is φ = 25737075302400.

The previous prime is 102140330201027. The next prime is 102140330201093. The reversal of 102140330201040 is 40102033041201.

It is a junction number, because it is equal to n+sod(n) for n = 102140330200998 and 102140330201016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83882970 + ... + 85091910.

It is an arithmetic number, because the mean of its divisors is an integer number (1045613935800).

Almost surely, 2^{102140330201040} is an apocalyptic number.

102140330201040 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 102140330201040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167298229728000).

102140330201040 is an abundant number, since it is smaller than the sum of its proper divisors (232456129254960).

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

102140330201040 is a wasteful number, since it uses less digits than its factorization.

102140330201040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209246 (or 1209240 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 102140330201040 its reverse (40102033041201), we get a palindrome (142242363242241).

The spelling of 102140330201040 in words is "one hundred two trillion, one hundred forty billion, three hundred thirty million, two hundred one thousand, forty".