101115042000 has 320 divisors, whose sum is σ = 375306407424. Its totient is φ = 22942003200.

The previous prime is 101115041983. The next prime is 101115042029. The reversal of 101115042000 is 240511101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 5745214 + ... + 5762786.

Almost surely, 2^101115042000 is an apocalyptic number.

101115042000 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 101115042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187653203712).

101115042000 is an abundant number, since it is smaller than the sum of its proper divisors (274191365424).

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

101115042000 is a wasteful number, since it uses less digits than its factorization.

101115042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17743 (or 17727 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 101115042000 its reverse (240511101), we get a palindrome (101355553101).

The spelling of 101115042000 in words is "one hundred one billion, one hundred fifteen million, forty-two thousand".