101102112122111 has 8 divisors (see below), whose sum is σ = 101114407296000. Its totient is φ = 101089817428600.

The previous prime is 101102112122059. The next prime is 101102112122171. The reversal of 101102112122111 is 111221211201101.

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 101102112122111 - 2⁶ = 101102112122047 is a prime.

It is a super-3 number, since 3×101102112122111³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101102112122111.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102112122171) 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, 587037590 + ... + 587209788.

It is an arithmetic number, because the mean of its divisors is an integer number (12639300912000).

Almost surely, 2^{101102112122111} is an apocalyptic number.

101102112122111 is a deficient number, since it is larger than the sum of its proper divisors (12295173889).

101102112122111 is a wasteful number, since it uses less digits than its factorization.

101102112122111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240189.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101102112122111 its reverse (111221211201101), we get a palindrome (212323323323212).

The spelling of 101102112122111 in words is "one hundred one trillion, one hundred two billion, one hundred twelve million, one hundred twenty-two thousand, one hundred eleven".