21021011122100 has 72 divisors (see below), whose sum is σ = 49835326772448. Its totient is φ = 7632811964800.

The previous prime is 21021011122079. The next prime is 21021011122109. The reversal of 21021011122100 is 122111012012.

It is a super-2 number, since 2×21021011122100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021011122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13238459 + ... + 14741058.

It is an arithmetic number, because the mean of its divisors is an integer number (692157316284).

Almost surely, 2^{21021011122100} is an apocalyptic number.

21021011122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21021011122100 is an abundant number, since it is smaller than the sum of its proper divisors (28814315650348).

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

21021011122100 is a wasteful number, since it uses less digits than its factorization.

21021011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27980225 (or 27980218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21021011122100 its reverse (122111012012), we get a palindrome (21143122134112).

The spelling of 21021011122100 in words is "twenty-one trillion, twenty-one billion, eleven million, one hundred twenty-two thousand, one hundred".