100126821 has 16 divisors (see below), whose sum is σ = 146232000. Its totient is φ = 60657408.

The previous prime is 100126811. The next prime is 100126823. The reversal of 100126821 is 128621001.

It is not a de Polignac number, because 100126821 - 2⁶ = 100126757 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 (100126823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32371 + ... + 35328.

It is an arithmetic number, because the mean of its divisors is an integer number (9139500).

Almost surely, 2^100126821 is an apocalyptic number.

It is an amenable number.

100126821 is a deficient number, since it is larger than the sum of its proper divisors (46105179).

100126821 is a wasteful number, since it uses less digits than its factorization.

100126821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67748.

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 100126821 is about 10006.3390408281. The cubic root of 100126821 is about 464.3550174507.

Adding to 100126821 its reverse (128621001), we get a palindrome (228747822).

The spelling of 100126821 in words is "one hundred million, one hundred twenty-six thousand, eight hundred twenty-one".