21312422121100 has 72 divisors (see below), whose sum is σ = 50470412655600. Its totient is φ = 7747191801600.

The previous prime is 21312422121091. The next prime is 21312422121101. The reversal of 21312422121100 is 112122421312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (21312422121101) 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, 405555 + ... + 6541354.

It is an arithmetic number, because the mean of its divisors is an integer number (700977953550).

Almost surely, 2^{21312422121100} is an apocalyptic number.

21312422121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21312422121100 is an abundant number, since it is smaller than the sum of its proper divisors (29157990534500).

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

21312422121100 is a wasteful number, since it uses less digits than its factorization.

21312422121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949723 (or 6949716 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 21312422121100 its reverse (112122421312), we get a palindrome (21424544542412).

The spelling of 21312422121100 in words is "twenty-one trillion, three hundred twelve billion, four hundred twenty-two million, one hundred twenty-one thousand, one hundred".