20212101 has 96 divisors (see below), whose sum is σ = 39836160. Its totient is φ = 9580032.

The previous prime is 20212097. The next prime is 20212103. The reversal of 20212101 is 10121202.

It is not a de Polignac number, because 20212101 - 2² = 20212097 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20212103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 546255 + ... + 546291.

It is an arithmetic number, because the mean of its divisors is an integer number (414960).

Almost surely, 2^20212101 is an apocalyptic number.

20212101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

20212101 is a deficient number, since it is larger than the sum of its proper divisors (19624059).

20212101 is a wasteful number, since it uses less digits than its factorization.

20212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 112 counting only the distinct ones).

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

The square root of 20212101 is about 4495.7870278740. The cubic root of 20212101 is about 272.3979406263.

Adding to 20212101 its reverse (10121202), we get a palindrome (30333303).

The spelling of 20212101 in words is "twenty million, two hundred twelve thousand, one hundred one".