101145242000 has 160 divisors (see below), whose sum is σ = 269256873600. Its totient is φ = 36441792000.

The previous prime is 101145241987. The next prime is 101145242017. The reversal of 101145242000 is 242541101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2376911 + ... + 2419089.

It is an arithmetic number, because the mean of its divisors is an integer number (1682855460).

Almost surely, 2^101145242000 is an apocalyptic number.

101145242000 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 101145242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134628436800).

101145242000 is an abundant number, since it is smaller than the sum of its proper divisors (168111631600).

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

101145242000 is a wasteful number, since it uses less digits than its factorization.

101145242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42322 (or 42306 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

Adding to 101145242000 its reverse (242541101), we get a palindrome (101387783101).

The spelling of 101145242000 in words is "one hundred one billion, one hundred forty-five million, two hundred forty-two thousand".