101142302000 has 80 divisors (see below), whose sum is σ = 244806560544. Its totient is φ = 40416480000.

The previous prime is 101142301961. The next prime is 101142302003. The reversal of 101142302000 is 203241101.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101142302003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2017235 + ... + 2066765.

Almost surely, 2^101142302000 is an apocalyptic number.

101142302000 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 101142302000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122403280272).

101142302000 is an abundant number, since it is smaller than the sum of its proper divisors (143664258544).

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

101142302000 is a wasteful number, since it uses less digits than its factorization.

101142302000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50575 (or 50559 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101142302000 its reverse (203241101), we get a palindrome (101345543101).

The spelling of 101142302000 in words is "one hundred one billion, one hundred forty-two million, three hundred two thousand".