101010012211111 has 16 divisors (see below), whose sum is σ = 110430008156160. Its totient is φ = 91978051501440.

The previous prime is 101010012211099. The next prime is 101010012211127. The reversal of 101010012211111 is 111112210010101.

It is a cyclic number.

It is not a de Polignac number, because 101010012211111 - 2¹³ = 101010012202919 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010012211091 and 101010012211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010010211111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22388611 + ... + 26519236.

It is an arithmetic number, because the mean of its divisors is an integer number (6901875509760).

Almost surely, 2^{101010012211111} is an apocalyptic number.

101010012211111 is a deficient number, since it is larger than the sum of its proper divisors (9419995945049).

101010012211111 is a wasteful number, since it uses less digits than its factorization.

101010012211111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48911814.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101010012211111 its reverse (111112210010101), we get a palindrome (212122222221212).

The spelling of 101010012211111 in words is "one hundred one trillion, ten billion, twelve million, two hundred eleven thousand, one hundred eleven".