102212110110101 has 8 divisors (see below), whose sum is σ = 103544511969624. Its totient is φ = 100887214740480.

The previous prime is 102212110110041. The next prime is 102212110110107. The reversal of 102212110110101 is 101011011212201.

It can be written as a sum of positive squares in 4 ways, for example, as 15073455076 + 102197036655025 = 122774^2 + 10109255^2 .

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 102212110110101 - 2³⁰ = 102211036368277 is a prime.

It is a super-2 number, since 2×102212110110101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102212110110107) 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, 1876595066 + ... + 1876649531.

It is an arithmetic number, because the mean of its divisors is an integer number (12943063996203).

Almost surely, 2^{102212110110101} is an apocalyptic number.

It is an amenable number.

102212110110101 is a deficient number, since it is larger than the sum of its proper divisors (1332401859523).

102212110110101 is a wasteful number, since it uses less digits than its factorization.

102212110110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753244951.

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

Adding to 102212110110101 its reverse (101011011212201), we get a palindrome (203223121322302).

The spelling of 102212110110101 in words is "one hundred two trillion, two hundred twelve billion, one hundred ten million, one hundred ten thousand, one hundred one".