101445442332234 has 512 divisors, whose sum is σ = 286974352465920. Its totient is φ = 23057801625600.

The previous prime is 101445442332233. The next prime is 101445442332253. The reversal of 101445442332234 is 432233244544101.

It is a super-2 number, since 2×101445442332234² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101445442332233) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7370874637 + ... + 7370888399.

It is an arithmetic number, because the mean of its divisors is an integer number (560496782160).

Almost surely, 2^{101445442332234} is an apocalyptic number.

101445442332234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101445442332234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143487176232960).

101445442332234 is an abundant number, since it is smaller than the sum of its proper divisors (185528910133686).

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

101445442332234 is a wasteful number, since it uses less digits than its factorization.

101445442332234 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14686.

The product of its (nonzero) digits is 1105920, while the sum is 42.

Adding to 101445442332234 its reverse (432233244544101), we get a palindrome (533678686876335).

The spelling of 101445442332234 in words is "one hundred one trillion, four hundred forty-five billion, four hundred forty-two million, three hundred thirty-two thousand, two hundred thirty-four".