21214210103100 has 144 divisors (see below), whose sum is σ = 77942579411200. Its totient is φ = 4848962304960.

The previous prime is 21214210103087. The next prime is 21214210103111. The reversal of 21214210103100 is 130101241212.

21214210103100 is a `hidden beast` number, since 21 + 21 + 421 + 0 + 103 + 100 = 666.

It is a super-2 number, since 2×21214210103100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 561203590 + ... + 561241389.

Almost surely, 2^{21214210103100} is an apocalyptic number.

21214210103100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21214210103100 is an abundant number, since it is smaller than the sum of its proper divisors (56728369308100).

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

21214210103100 is a wasteful number, since it uses less digits than its factorization.

21214210103100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122445009 (or 1122444996 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 21214210103100 its reverse (130101241212), we get a palindrome (21344311344312).

The spelling of 21214210103100 in words is "twenty-one trillion, two hundred fourteen billion, two hundred ten million, one hundred three thousand, one hundred".