10122121011 has 32 divisors (see below), whose sum is σ = 14653336320. Its totient is φ = 6191640576.

The previous prime is 10122120989. The next prime is 10122121057. The reversal of 10122121011 is 11012122101.

It is not a de Polignac number, because 10122121011 - 2⁶ = 10122120947 is a prime.

It is a super-2 number, since 2×10122121011² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10122121081) 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, 316180 + ... + 346718.

It is an arithmetic number, because the mean of its divisors is an integer number (457916760).

Almost surely, 2^10122121011 is an apocalyptic number.

10122121011 is a deficient number, since it is larger than the sum of its proper divisors (4531215309).

10122121011 is a wasteful number, since it uses less digits than its factorization.

10122121011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30723.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10122121011 its reverse (11012122101), we get a palindrome (21134243112).

The spelling of 10122121011 in words is "ten billion, one hundred twenty-two million, one hundred twenty-one thousand, eleven".