10400211101 has 32 divisors (see below), whose sum is σ = 12402336000. Its totient is φ = 8532905472.

The previous prime is 10400211083. The next prime is 10400211103. The reversal of 10400211101 is 10111200401.

It is not a de Polignac number, because 10400211101 - 2⁶ = 10400211037 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400211103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19012910 + ... + 19013456.

It is an arithmetic number, because the mean of its divisors is an integer number (387573000).

Almost surely, 2^10400211101 is an apocalyptic number.

It is an amenable number.

10400211101 is a deficient number, since it is larger than the sum of its proper divisors (2002124899).

10400211101 is a wasteful number, since it uses less digits than its factorization.

10400211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10400211101 its reverse (10111200401), we get a palindrome (20511411502).

The spelling of 10400211101 in words is "ten billion, four hundred million, two hundred eleven thousand, one hundred one".