102340101400 has 96 divisors (see below), whose sum is σ = 242354399040. Its totient is φ = 40181074560.

The previous prime is 102340101389. The next prime is 102340101401. The reversal of 102340101400 is 4101043201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102340101401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3778707 + ... + 3805693.

It is an arithmetic number, because the mean of its divisors is an integer number (2524524990).

Almost surely, 2^102340101400 is an apocalyptic number.

102340101400 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 102340101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121177199520).

102340101400 is an abundant number, since it is smaller than the sum of its proper divisors (140014297640).

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

102340101400 is a wasteful number, since it uses less digits than its factorization.

102340101400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27353 (or 27344 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 102340101400 its reverse (4101043201), we get a palindrome (106441144601).

The spelling of 102340101400 in words is "one hundred two billion, three hundred forty million, one hundred one thousand, four hundred".