101001054 has 48 divisors (see below), whose sum is σ = 256352256. Its totient is φ = 26233200.

The previous prime is 101001053. The next prime is 101001059. The reversal of 101001054 is 450100101.

It is a happy number.

It is a super-2 number, since 2×101001054² = 20402425818221832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12382 + ... + 18849.

It is an arithmetic number, because the mean of its divisors is an integer number (5340672).

Almost surely, 2^101001054 is an apocalyptic number.

101001054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101001054 is an abundant number, since it is smaller than the sum of its proper divisors (155351202).

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

101001054 is a wasteful number, since it uses less digits than its factorization.

101001054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31261 (or 31254 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 101001054 is about 10049.9280594440. The cubic root of 101001054 is about 465.7025707378.

Adding to 101001054 its reverse (450100101), we get a palindrome (551101155).

The spelling of 101001054 in words is "one hundred one million, one thousand, fifty-four".