101142012200 has 48 divisors (see below), whose sum is σ = 247531776000. Its totient is φ = 38327497920.

The previous prime is 101142012173. The next prime is 101142012203. The reversal of 101142012200 is 2210241101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101142012203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13304360 + ... + 13311959.

It is an arithmetic number, because the mean of its divisors is an integer number (5156912000).

Almost surely, 2^101142012200 is an apocalyptic number.

101142012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101142012200 is an abundant number, since it is smaller than the sum of its proper divisors (146389763800).

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

101142012200 is a wasteful number, since it uses less digits than its factorization.

101142012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26616354 (or 26616345 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101142012200 its reverse (2210241101), we get a palindrome (103352253301).

The spelling of 101142012200 in words is "one hundred one billion, one hundred forty-two million, twelve thousand, two hundred".