101011122001111 has 16 divisors (see below), whose sum is σ = 115636154437440. Its totient is φ = 86434921497600.

The previous prime is 101011122001039. The next prime is 101011122001117. The reversal of 101011122001111 is 111100221110101.

It is a cyclic number.

It is not a de Polignac number, because 101011122001111 - 2¹⁵ = 101011121968343 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101011122001091 and 101011122001100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122001117) 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, 5901061 + ... + 15389761.

It is an arithmetic number, because the mean of its divisors is an integer number (7227259652340).

Almost surely, 2^{101011122001111} is an apocalyptic number.

101011122001111 is a deficient number, since it is larger than the sum of its proper divisors (14625032436329).

101011122001111 is an equidigital number, since it uses as much as digits as its factorization.

101011122001111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9491274.

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

Adding to 101011122001111 its reverse (111100221110101), we get a palindrome (212111343111212).

The spelling of 101011122001111 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, one thousand, one hundred eleven".