10400200101 has 12 divisors (see below), whose sum is σ = 15035831980. Its totient is φ = 6927318720.

The previous prime is 10400200087. The next prime is 10400200127. The reversal of 10400200101 is 10100200401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 400400100 + 9999800001 = 20010^2 + 99999^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10400200101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10400200201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 501610 + ... + 521931.

Almost surely, 2^10400200101 is an apocalyptic number.

It is an amenable number.

10400200101 is a deficient number, since it is larger than the sum of its proper divisors (4635631879).

10400200101 is a wasteful number, since it uses less digits than its factorization.

10400200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024676 (or 1024673 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10400200101 its reverse (10100200401), we get a palindrome (20500400502).

The spelling of 10400200101 in words is "ten billion, four hundred million, two hundred thousand, one hundred one".