101022100112111 has 8 divisors (see below), whose sum is σ = 109573468701984. Its totient is φ = 92760608423680.

The previous prime is 101022100112107. The next prime is 101022100112137. The reversal of 101022100112111 is 111211001220101.

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 101022100112111 - 2² = 101022100112107 is a prime.

It is a super-2 number, since 2×101022100112111² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101072100112111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72469224635 + ... + 72469226028.

It is an arithmetic number, because the mean of its divisors is an integer number (13696683587748).

Almost surely, 2^{101022100112111} is an apocalyptic number.

101022100112111 is a deficient number, since it is larger than the sum of its proper divisors (8551368589873).

101022100112111 is a wasteful number, since it uses less digits than its factorization.

101022100112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144938450721.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101022100112111 its reverse (111211001220101), we get a palindrome (212233101332212).

The spelling of 101022100112111 in words is "one hundred one trillion, twenty-two billion, one hundred million, one hundred twelve thousand, one hundred eleven".