10122101011011 has 16 divisors (see below), whose sum is σ = 14744803546368. Its totient is φ = 6125545202400.

The previous prime is 10122101010977. The next prime is 10122101011049. The reversal of 10122101011011 is 11011010122101.

It is not a de Polignac number, because 10122101011011 - 2⁷ = 10122101010883 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10122101011091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226514095 + ... + 226558776.

It is an arithmetic number, because the mean of its divisors is an integer number (921550221648).

Almost surely, 2^{10122101011011} is an apocalyptic number.

10122101011011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10122101011011 is a deficient number, since it is larger than the sum of its proper divisors (4622702535357).

10122101011011 is a wasteful number, since it uses less digits than its factorization.

10122101011011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 453073562.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10122101011011 its reverse (11011010122101), we get a palindrome (21133111133112).

The spelling of 10122101011011 in words is "ten trillion, one hundred twenty-two billion, one hundred one million, eleven thousand, eleven".