101041410000 has 200 divisors, whose sum is σ = 329414478624. Its totient is φ = 26676800000.

The previous prime is 101041409999. The next prime is 101041410007. The reversal of 101041410000 is 14140101.

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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041410007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3013327 + ... + 3046673.

Almost surely, 2^101041410000 is an apocalyptic number.

101041410000 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 101041410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164707239312).

101041410000 is an abundant number, since it is smaller than the sum of its proper divisors (228373068624).

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

101041410000 is a wasteful number, since it uses less digits than its factorization.

101041410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33479 (or 33458 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101041410000 its reverse (14140101), we get a palindrome (101055550101).

The spelling of 101041410000 in words is "one hundred one billion, forty-one million, four hundred ten thousand".