101234400444 has 144 divisors (see below), whose sum is σ = 274271961600. Its totient is φ = 31372282368.

The previous prime is 101234400437. The next prime is 101234400503. The reversal of 101234400444 is 444004432101.

It is a super-2 number, since 2×101234400444² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24816397 + ... + 24820475.

It is an arithmetic number, because the mean of its divisors is an integer number (1904666400).

Almost surely, 2^101234400444 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 101234400444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137135980800).

101234400444 is an abundant number, since it is smaller than the sum of its proper divisors (173037561156).

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

101234400444 is a wasteful number, since it uses less digits than its factorization.

101234400444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4592 (or 4587 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 101234400444 its reverse (444004432101), we get a palindrome (545238832545).

The spelling of 101234400444 in words is "one hundred one billion, two hundred thirty-four million, four hundred thousand, four hundred forty-four".