101000121200111 has 8 divisors (see below), whose sum is σ = 115428829896480. Its totient is φ = 86571442492128.

The previous prime is 101000121200107. The next prime is 101000121200149. The reversal of 101000121200111 is 111002121000101.

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 101000121200111 - 2² = 101000121200107 is a prime.

It is a super-2 number, since 2×101000121200111² (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 = 101000121200092 and 101000121200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000121200161) 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 7 ways as a sum of consecutive naturals, for example, 254285 + ... + 14214953.

It is an arithmetic number, because the mean of its divisors is an integer number (14428603737060).

Almost surely, 2^{101000121200111} is an apocalyptic number.

101000121200111 is a deficient number, since it is larger than the sum of its proper divisors (14428708696369).

101000121200111 is a wasteful number, since it uses less digits than its factorization.

101000121200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14994193.

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

Adding to 101000121200111 its reverse (111002121000101), we get a palindrome (212002242200212).

The spelling of 101000121200111 in words is "one hundred one trillion, one hundred twenty-one million, two hundred thousand, one hundred eleven".