100400210461 has 8 divisors (see below), whose sum is σ = 108898937784. Its totient is φ = 92189575680.

The previous prime is 100400210447. The next prime is 100400210483. The reversal of 100400210461 is 164012004001.

It can be written as a sum of positive squares in 4 ways, for example, as 17804899225 + 82595311236 = 133435^2 + 287394^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100400210461 - 2¹⁹ = 100399686173 is a prime.

It is a super-2 number, since 2×100400210461² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100400210411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72022410 + ... + 72023803.

It is an arithmetic number, because the mean of its divisors is an integer number (13612367223).

Almost surely, 2^100400210461 is an apocalyptic number.

It is an amenable number.

100400210461 is a deficient number, since it is larger than the sum of its proper divisors (8498727323).

100400210461 is a wasteful number, since it uses less digits than its factorization.

100400210461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144046271.

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 100400210461 its reverse (164012004001), we get a palindrome (264412214462).

The spelling of 100400210461 in words is "one hundred billion, four hundred million, two hundred ten thousand, four hundred sixty-one".