101102001200111 has 16 divisors (see below), whose sum is σ = 109328765091840. Its totient is φ = 93128596840320.

The previous prime is 101102001200087. The next prime is 101102001200129. The reversal of 101102001200111 is 111002100201101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101102001200111 is a prime.

It is a super-2 number, since 2×101102001200111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102001200092 and 101102001200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102001200611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44988626 + ... + 47182416.

It is an arithmetic number, because the mean of its divisors is an integer number (6833047818240).

Almost surely, 2^{101102001200111} is an apocalyptic number.

101102001200111 is a deficient number, since it is larger than the sum of its proper divisors (8226763891729).

101102001200111 is a wasteful number, since it uses less digits than its factorization.

101102001200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251534.

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

Adding to 101102001200111 its reverse (111002100201101), we get a palindrome (212104101401212).

The spelling of 101102001200111 in words is "one hundred one trillion, one hundred two billion, one million, two hundred thousand, one hundred eleven".