10121220011 has 16 divisors (see below), whose sum is σ = 12402570240. Its totient is φ = 8061655680.

The previous prime is 10121220001. The next prime is 10121220013. The reversal of 10121220011 is 11002212101.

It is a de Polignac number, because none of the positive numbers 2^k-10121220011 is a prime.

It is a super-2 number, since 2×10121220011² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10121219974 and 10121220001.

It is not an unprimeable number, because it can be changed into a prime (10121220013) 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 15 ways as a sum of consecutive naturals, for example, 528905 + ... + 547706.

It is an arithmetic number, because the mean of its divisors is an integer number (775160640).

Almost surely, 2^10121220011 is an apocalyptic number.

10121220011 is a deficient number, since it is larger than the sum of its proper divisors (2281350229).

10121220011 is a wasteful number, since it uses less digits than its factorization.

10121220011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1076714.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121220011 its reverse (11002212101), we get a palindrome (21123432112).

The spelling of 10121220011 in words is "ten billion, one hundred twenty-one million, two hundred twenty thousand, eleven".