21001110210100 has 36 divisors (see below), whose sum is σ = 45672130063084. Its totient is φ = 8382062350080.

The previous prime is 21001110210097. The next prime is 21001110210103. The reversal of 21001110210100 is 101201110012.

It is an interprime number because it is at equal distance from previous prime (21001110210097) and next prime (21001110210103).

It can be written as a sum of positive squares in 6 ways, for example, as 69002883856 + 20932107326244 = 262684^2 + 4575162^2 .

It is a super-2 number, since 2×21001110210100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001110210103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229725747 + ... + 229817146.

Almost surely, 2^{21001110210100} is an apocalyptic number.

21001110210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21001110210100 is an abundant number, since it is smaller than the sum of its proper divisors (24671019852984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21001110210100 is a wasteful number, since it uses less digits than its factorization.

21001110210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459543364 (or 459543357 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21001110210100 its reverse (101201110012), we get a palindrome (21102311320112).

The spelling of 21001110210100 in words is "twenty-one trillion, one billion, one hundred ten million, two hundred ten thousand, one hundred".