10122111000213 has 32 divisors (see below), whose sum is σ = 13626699878400. Its totient is φ = 6682995196416.

The previous prime is 10122111000167. The next prime is 10122111000233. The reversal of 10122111000213 is 31200011122101.

It is not a de Polignac number, because 10122111000213 - 2⁶ = 10122111000149 is a prime.

It is a super-2 number, since 2×10122111000213² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10122111000192 and 10122111000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10122111000233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 970568283 + ... + 970578711.

It is an arithmetic number, because the mean of its divisors is an integer number (425834371200).

Almost surely, 2^{10122111000213} is an apocalyptic number.

It is an amenable number.

10122111000213 is a deficient number, since it is larger than the sum of its proper divisors (3504588878187).

10122111000213 is a wasteful number, since it uses less digits than its factorization.

10122111000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14861.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10122111000213 its reverse (31200011122101), we get a palindrome (41322122122314).

The spelling of 10122111000213 in words is "ten trillion, one hundred twenty-two billion, one hundred eleven million, two hundred thirteen", and thus it is an aban number.