101121200111 has 4 divisors (see below), whose sum is σ = 101555196912. Its totient is φ = 100687203312.

The previous prime is 101121200099. The next prime is 101121200123. The reversal of 101121200111 is 111002121101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 111002121101 = 223219 ⋅497279.

It is an interprime number because it is at equal distance from previous prime (101121200099) and next prime (101121200123).

It is a cyclic number.

It is not a de Polignac number, because 101121200111 - 2¹⁴ = 101121183727 is a prime.

It is a super-2 number, since 2×101121200111² (a number of 23 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 = 101121200092 and 101121200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121200311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 216998051 + ... + 216998516.

It is an arithmetic number, because the mean of its divisors is an integer number (25388799228).

Almost surely, 2^101121200111 is an apocalyptic number.

101121200111 is a deficient number, since it is larger than the sum of its proper divisors (433996801).

101121200111 is an equidigital number, since it uses as much as digits as its factorization.

101121200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433996800.

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

Adding to 101121200111 its reverse (111002121101), we get a palindrome (212123321212).

The spelling of 101121200111 in words is "one hundred one billion, one hundred twenty-one million, two hundred thousand, one hundred eleven".