101011211011111 has 16 divisors (see below), whose sum is σ = 101237457169408. Its totient is φ = 100785229776000.

The previous prime is 101011211011063. The next prime is 101011211011129. The reversal of 101011211011111 is 111110112110101.

It is a cyclic number.

It is not a de Polignac number, because 101011211011111 - 2¹¹ = 101011211009063 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011211011091 and 101011211011100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011211011511) 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, 5474556436 + ... + 5474574886.

It is an arithmetic number, because the mean of its divisors is an integer number (6327341073088).

Almost surely, 2^{101011211011111} is an apocalyptic number.

101011211011111 is a deficient number, since it is larger than the sum of its proper divisors (226246158297).

101011211011111 is a wasteful number, since it uses less digits than its factorization.

101011211011111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24982.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101011211011111 its reverse (111110112110101), we get a palindrome (212121323121212).

The spelling of 101011211011111 in words is "one hundred one trillion, eleven billion, two hundred eleven million, eleven thousand, one hundred eleven".