10121122011 has 128 divisors (see below), whose sum is σ = 18556102656. Its totient is φ = 4737761280.

The previous prime is 10121122001. The next prime is 10121122031. The reversal of 10121122011 is 11022112101.

It is not a de Polignac number, because 10121122011 - 2⁵ = 10121121979 is a prime.

It is a super-2 number, since 2×10121122011² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10121122001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30032835 + ... + 30033171.

It is an arithmetic number, because the mean of its divisors is an integer number (144969552).

Almost surely, 2^10121122011 is an apocalyptic number.

10121122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121122011 is a deficient number, since it is larger than the sum of its proper divisors (8434980645).

10121122011 is a wasteful number, since it uses less digits than its factorization.

10121122011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581.

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

Adding to 10121122011 its reverse (11022112101), we get a palindrome (21143234112).

It can be divided in two parts, 101 and 21122011, that added together give a palindrome (21122112).

The spelling of 10121122011 in words is "ten billion, one hundred twenty-one million, one hundred twenty-two thousand, eleven".