101011111211101 has 8 divisors (see below), whose sum is σ = 124321367644544. Its totient is φ = 79920879199920.

The previous prime is 101011111211039. The next prime is 101011111211141. The reversal of 101011111211101 is 101112111110101.

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 101011111211101 - 2¹⁹ = 101011110686813 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011111211141) 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, 555006105465 + ... + 555006105646.

It is an arithmetic number, because the mean of its divisors is an integer number (15540170955568).

Almost surely, 2^{101011111211101} is an apocalyptic number.

It is an amenable number.

101011111211101 is a deficient number, since it is larger than the sum of its proper divisors (23310256433443).

101011111211101 is a wasteful number, since it uses less digits than its factorization.

101011111211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1110012211131.

The product of its (nonzero) digits is 2, while the sum is 13.

Adding to 101011111211101 its reverse (101112111110101), we get a palindrome (202123222321202).

The spelling of 101011111211101 in words is "one hundred one trillion, eleven billion, one hundred eleven million, two hundred eleven thousand, one hundred one".