101010122010011 has 32 divisors (see below), whose sum is σ = 106721912833536. Its totient is φ = 95482063872000.

The previous prime is 101010122009971. The next prime is 101010122010013. The reversal of 101010122010011 is 110010221010101.

It is a cyclic number.

It is not a de Polignac number, because 101010122010011 - 2¹⁰ = 101010122008987 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010122009974 and 101010122010001.

It is not an unprimeable number, because it can be changed into a prime (101010122010013) 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, 98202695 + ... + 99225951.

It is an arithmetic number, because the mean of its divisors is an integer number (3335059776048).

Almost surely, 2^{101010122010011} is an apocalyptic number.

101010122010011 is a deficient number, since it is larger than the sum of its proper divisors (5711790823525).

101010122010011 is a wasteful number, since it uses less digits than its factorization.

101010122010011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023783.

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

Adding to 101010122010011 its reverse (110010221010101), we get a palindrome (211020343020112).

The spelling of 101010122010011 in words is "one hundred one trillion, ten billion, one hundred twenty-two million, ten thousand, eleven".