21121123101003 has 48 divisors (see below), whose sum is σ = 31016492838240. Its totient is φ = 13848340608000.

The previous prime is 21121123100999. The next prime is 21121123101079. The reversal of 21121123101003 is 30010132112112.

21121123101003 is a `hidden beast` number, since 211 + 211 + 231 + 0 + 10 + 0 + 3 = 666.

It is not a de Polignac number, because 21121123101003 - 2² = 21121123100999 is a prime.

It is a super-2 number, since 2×21121123101003² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21121123101203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90016548 + ... + 90250878.

It is an arithmetic number, because the mean of its divisors is an integer number (646176934130).

Almost surely, 2^{21121123101003} is an apocalyptic number.

21121123101003 is a deficient number, since it is larger than the sum of its proper divisors (9895369737237).

21121123101003 is a wasteful number, since it uses less digits than its factorization.

21121123101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235100 (or 235097 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 21121123101003 its reverse (30010132112112), we get a palindrome (51131255213115).

The spelling of 21121123101003 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred twenty-three million, one hundred one thousand, three".