101001456 has 30 divisors (see below), whose sum is σ = 282664200. Its totient is φ = 33667104.

The previous prime is 101001443. The next prime is 101001457. The reversal of 101001456 is 654100101.

It is a super-2 number, since 2×101001456² = 20402588228239872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001457) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 350556 + ... + 350843.

It is an arithmetic number, because the mean of its divisors is an integer number (9422140).

Almost surely, 2^101001456 is an apocalyptic number.

101001456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101001456 is an abundant number, since it is smaller than the sum of its proper divisors (181662744).

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

101001456 is a wasteful number, since it uses less digits than its factorization.

101001456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701413 (or 701404 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 101001456 is about 10049.9480595673. The cubic root of 101001456 is about 465.7031885933.

Adding to 101001456 its reverse (654100101), we get a palindrome (755101557).

The spelling of 101001456 in words is "one hundred one million, one thousand, four hundred fifty-six".