101142634230 has 128 divisors (see below), whose sum is σ = 294533452800. Its totient is φ = 24494400000.

The previous prime is 101142634213. The next prime is 101142634253. The reversal of 101142634230 is 32436241101.

It is a happy number.

101142634230 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 4 + 2 + 634 + 23 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101142634194 and 101142634203.

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, 2979855 + ... + 3013605.

It is an arithmetic number, because the mean of its divisors is an integer number (2301042600).

Almost surely, 2^101142634230 is an apocalyptic number.

101142634230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101142634230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147266726400).

101142634230 is an abundant number, since it is smaller than the sum of its proper divisors (193390818570).

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

101142634230 is a wasteful number, since it uses less digits than its factorization.

101142634230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34787 (or 34781 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101142634230 its reverse (32436241101), we get a palindrome (133578875331).

The spelling of 101142634230 in words is "one hundred one billion, one hundred forty-two million, six hundred thirty-four thousand, two hundred thirty".