21122002100199 has 192 divisors, whose sum is σ = 39544087403520. Its totient is φ = 9850746286080.

The previous prime is 21122002100123. The next prime is 21122002100201. The reversal of 21122002100199 is 99100120022112.

It is not a de Polignac number, because 21122002100199 - 2⁹ = 21122002099687 is a prime.

It is a super-2 number, since 2×21122002100199² (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 (21122002100299) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3024771262 + ... + 3024778244.

It is an arithmetic number, because the mean of its divisors is an integer number (205958788560).

Almost surely, 2^{21122002100199} is an apocalyptic number.

21122002100199 is a deficient number, since it is larger than the sum of its proper divisors (18422085303321).

21122002100199 is a wasteful number, since it uses less digits than its factorization.

21122002100199 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10950 (or 10943 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 30.

The spelling of 21122002100199 in words is "twenty-one trillion, one hundred twenty-two billion, two million, one hundred thousand, one hundred ninety-nine".