101000434440000 has 280 divisors, whose sum is σ = 335328299095680. Its totient is φ = 26820749312000.

The previous prime is 101000434439959. The next prime is 101000434440109. The reversal of 101000434440000 is 44434000101.

It is a super-2 number, since 2×101000434440000² (a number of 29 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 39 ways as a sum of consecutive naturals, for example, 26919184 + ... + 30440816.

Almost surely, 2^{101000434440000} is an apocalyptic number.

101000434440000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000434440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167664149547840).

101000434440000 is an abundant number, since it is smaller than the sum of its proper divisors (234327864655680).

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

101000434440000 is an equidigital number, since it uses as much as digits as its factorization.

101000434440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521907 (or 3521882 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 101000434440000 its reverse (44434000101), we get a palindrome (101044868440101).

The spelling of 101000434440000 in words is "one hundred one trillion, four hundred thirty-four million, four hundred forty thousand".