401029101 has 24 divisors (see below), whose sum is σ = 632698560. Its totient is φ = 242750400.

The previous prime is 401029093. The next prime is 401029147. The reversal of 401029101 is 101920104.

It is not a de Polignac number, because 401029101 - 2³ = 401029093 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401029001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100105 + ... + 104033.

It is an arithmetic number, because the mean of its divisors is an integer number (26362440).

Almost surely, 2^401029101 is an apocalyptic number.

It is an amenable number.

401029101 is a deficient number, since it is larger than the sum of its proper divisors (231669459).

401029101 is a wasteful number, since it uses less digits than its factorization.

401029101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4977 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 401029101 is about 20025.7109986138. The cubic root of 401029101 is about 737.4376320332.

Adding to 401029101 its reverse (101920104), we get a palindrome (502949205).

The spelling of 401029101 in words is "four hundred one million, twenty-nine thousand, one hundred one".