10011002021123 has 32 divisors (see below), whose sum is σ = 10836350380800. Its totient is φ = 9217343116800.

The previous prime is 10011002021089. The next prime is 10011002021173. The reversal of 10011002021123 is 32112020011001.

It is a cyclic number.

It is not a de Polignac number, because 10011002021123 - 2²⁴ = 10010985243907 is a prime.

It is a super-2 number, since 2×10011002021123² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10011002021098 and 10011002021107.

It is not an unprimeable number, because it can be changed into a prime (10011002021173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 215318063 + ... + 215364551.

It is an arithmetic number, because the mean of its divisors is an integer number (338635949400).

Almost surely, 2^{10011002021123} is an apocalyptic number.

10011002021123 is a deficient number, since it is larger than the sum of its proper divisors (825348359677).

10011002021123 is a wasteful number, since it uses less digits than its factorization.

10011002021123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47603.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10011002021123 its reverse (32112020011001), we get a palindrome (42123022032124).

The spelling of 10011002021123 in words is "ten trillion, eleven billion, two million, twenty-one thousand, one hundred twenty-three".