10120121022011 has 32 divisors (see below), whose sum is σ = 13593536183808. Its totient is φ = 7276164330240.

The previous prime is 10120121022001. The next prime is 10120121022043. The reversal of 10120121022011 is 11022012102101.

It is not a de Polignac number, because 10120121022011 - 2³⁰ = 10119047280187 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10120121022001) 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, 282980 + ... + 4507806.

It is an arithmetic number, because the mean of its divisors is an integer number (424798005744).

Almost surely, 2^{10120121022011} is an apocalyptic number.

10120121022011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10120121022011 is a deficient number, since it is larger than the sum of its proper divisors (3473415161797).

10120121022011 is a wasteful number, since it uses less digits than its factorization.

10120121022011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4227251.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120121022011 its reverse (11022012102101), we get a palindrome (21142133124112).

The spelling of 10120121022011 in words is "ten trillion, one hundred twenty billion, one hundred twenty-one million, twenty-two thousand, eleven".