101342410000 has 200 divisors, whose sum is σ = 272768486144. Its totient is φ = 36210240000.

The previous prime is 101342409947. The next prime is 101342410021. The reversal of 101342410000 is 14243101.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 4017427 + ... + 4042573.

Almost surely, 2^101342410000 is an apocalyptic number.

101342410000 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 101342410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136384243072).

101342410000 is an abundant number, since it is smaller than the sum of its proper divisors (171426076144).

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

101342410000 is a wasteful number, since it uses less digits than its factorization.

101342410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25219 (or 25198 counting only the distinct ones).

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

Adding to 101342410000 its reverse (14243101), we get a palindrome (101356653101).

The spelling of 101342410000 in words is "one hundred one billion, three hundred forty-two million, four hundred ten thousand".