101114254644 has 192 divisors, whose sum is σ = 292956652800. Its totient is φ = 26783834112.

The previous prime is 101114254613. The next prime is 101114254733. The reversal of 101114254644 is 446452411101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1426654 + ... + 1495850.

It is an arithmetic number, because the mean of its divisors is an integer number (1525815900).

Almost surely, 2^101114254644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101114254644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146478326400).

101114254644 is an abundant number, since it is smaller than the sum of its proper divisors (191842398156).

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

101114254644 is a wasteful number, since it uses less digits than its factorization.

101114254644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69282 (or 69280 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 101114254644 its reverse (446452411101), we get a palindrome (547566665745).

The spelling of 101114254644 in words is "one hundred one billion, one hundred fourteen million, two hundred fifty-four thousand, six hundred forty-four".