10121121021011 has 32 divisors (see below), whose sum is σ = 13599725293056. Its totient is φ = 7274287296000.

The previous prime is 10121121020999. The next prime is 10121121021019. The reversal of 10121121021011 is 11012012112101.

It is a cyclic number.

It is not a de Polignac number, because 10121121021011 - 2¹⁴ = 10121121004627 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10121121021019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2623670 + ... + 5208251.

It is an arithmetic number, because the mean of its divisors is an integer number (424991415408).

Almost surely, 2^{10121121021011} is an apocalyptic number.

10121121021011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10121121021011 is a deficient number, since it is larger than the sum of its proper divisors (3478604272045).

10121121021011 is a wasteful number, since it uses less digits than its factorization.

10121121021011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7833243.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10121121021011 its reverse (11012012112101), we get a palindrome (21133133133112).

The spelling of 10121121021011 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty-one million, twenty-one thousand, eleven".