100211001 has 16 divisors (see below), whose sum is σ = 146915328. Its totient is φ = 60253200.

The previous prime is 100210987. The next prime is 100211009. The reversal of 100211001 is 100112001.

It is not a de Polignac number, because 100211001 - 2¹⁵ = 100178233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100211009) 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, 7765 + ... + 16146.

It is an arithmetic number, because the mean of its divisors is an integer number (9182208).

Almost surely, 2^100211001 is an apocalyptic number.

100211001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211001 is a deficient number, since it is larger than the sum of its proper divisors (46704327).

100211001 is a wasteful number, since it uses less digits than its factorization.

100211001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24052.

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 100211001 is about 10010.5444906858. The cubic root of 100211001 is about 464.4851139806.

Adding to 100211001 its reverse (100112001), we get a palindrome (200323002).

The spelling of 100211001 in words is "one hundred million, two hundred eleven thousand, one".