101012111200111 has 8 divisors (see below), whose sum is σ = 108921917084400. Its totient is φ = 93361643213760.

The previous prime is 101012111200067. The next prime is 101012111200127. The reversal of 101012111200111 is 111002111210101.

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 101012111200111 - 2²¹ = 101012109102959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012111200091 and 101012111200100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012111200211) 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, 64834473676 + ... + 64834475233.

It is an arithmetic number, because the mean of its divisors is an integer number (13615239635550).

Almost surely, 2^{101012111200111} is an apocalyptic number.

101012111200111 is a deficient number, since it is larger than the sum of its proper divisors (7909805884289).

101012111200111 is a wasteful number, since it uses less digits than its factorization.

101012111200111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129668948969.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101012111200111 its reverse (111002111210101), we get a palindrome (212014222410212).

The spelling of 101012111200111 in words is "one hundred one trillion, twelve billion, one hundred eleven million, two hundred thousand, one hundred eleven".