101112040211101 has 8 divisors (see below), whose sum is σ = 103463933787104. Its totient is φ = 98760167125200.

The previous prime is 101112040211087. The next prime is 101112040211107.

It is a happy number.

101112040211101 is nontrivially palindromic in base 10.

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 101112040211101 - 2¹³ = 101112040202909 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112040211107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5095951 + ... + 15106051.

It is an arithmetic number, because the mean of its divisors is an integer number (12932991723388).

Almost surely, 2^{101112040211101} is an apocalyptic number.

It is an amenable number.

101112040211101 is a deficient number, since it is larger than the sum of its proper divisors (2351893576003).

101112040211101 is a wasteful number, since it uses less digits than its factorization.

101112040211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10245051.

The product of its (nonzero) digits is 16, while the sum is 16.

The spelling of 101112040211101 in words is "one hundred one trillion, one hundred twelve billion, forty million, two hundred eleven thousand, one hundred one".