101111212110101 has 16 divisors (see below), whose sum is σ = 102851199057600. Its totient is φ = 99385772880000.

The previous prime is 101111212110071. The next prime is 101111212110163. The reversal of 101111212110101 is 101011212111101.

It is a cyclic number.

It is not a de Polignac number, because 101111212110101 - 2²² = 101111207915797 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 (101111212140101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371321801 + ... + 371594001.

It is an arithmetic number, because the mean of its divisors is an integer number (6428199941100).

Almost surely, 2^{101111212110101} is an apocalyptic number.

It is an amenable number.

101111212110101 is a deficient number, since it is larger than the sum of its proper divisors (1739986947499).

101111212110101 is a wasteful number, since it uses less digits than its factorization.

101111212110101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298900.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 101111212110101 its reverse (101011212111101), we get a palindrome (202122424221202).

The spelling of 101111212110101 in words is "one hundred one trillion, one hundred eleven billion, two hundred twelve million, one hundred ten thousand, one hundred one".