10122010101011 has 8 divisors (see below), whose sum is σ = 10719756984384. Its totient is φ = 9524522609280.

The previous prime is 10122010100989. The next prime is 10122010101037. The reversal of 10122010101011 is 11010101022101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-10122010101011 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10122010100983 and 10122010101001.

It is not an unprimeable number, because it can be changed into a prime (10122010401011) 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 7 ways as a sum of consecutive naturals, for example, 64767560 + ... + 64923653.

It is an arithmetic number, because the mean of its divisors is an integer number (1339969623048).

Almost surely, 2^{10122010101011} is an apocalyptic number.

10122010101011 is a deficient number, since it is larger than the sum of its proper divisors (597746883373).

10122010101011 is a wasteful number, since it uses less digits than its factorization.

10122010101011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129695821.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10122010101011 its reverse (11010101022101), we get a palindrome (21132111123112).

The spelling of 10122010101011 in words is "ten trillion, one hundred twenty-two billion, ten million, one hundred one thousand, eleven".