101011011200111 has 8 divisors (see below), whose sum is σ = 105403199161344. Its totient is φ = 96618856977720.

The previous prime is 101011011200069. The next prime is 101011011200119. The reversal of 101011011200111 is 111002110110101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 101011011200111 - 2²⁶ = 101010944091247 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101011011200092 and 101011011200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011011200119) 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 7 ways as a sum of consecutive naturals, for example, 2219255 + ... + 14385656.

It is an arithmetic number, because the mean of its divisors is an integer number (13175399895168).

Almost surely, 2^{101011011200111} is an apocalyptic number.

101011011200111 is a deficient number, since it is larger than the sum of its proper divisors (4392187961233).

101011011200111 is a wasteful number, since it uses less digits than its factorization.

101011011200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16869421.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 101011011200111 its reverse (111002110110101), we get a palindrome (212013121310212).

The spelling of 101011011200111 in words is "one hundred one trillion, eleven billion, eleven million, two hundred thousand, one hundred eleven".