101210100110121 has 8 divisors (see below), whose sum is σ = 134959961877120. Its totient is φ = 67466819208272.

The previous prime is 101210100110107. The next prime is 101210100110137. The reversal of 101210100110121 is 121011001012101.

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 101210100110121 - 2¹⁴ = 101210100093737 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101210100110097 and 101210100110106.

It is not an unprimeable number, because it can be changed into a prime (101210100110191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1645180401 + ... + 1645241918.

It is an arithmetic number, because the mean of its divisors is an integer number (16869995234640).

Almost surely, 2^{101210100110121} is an apocalyptic number.

It is an amenable number.

101210100110121 is a deficient number, since it is larger than the sum of its proper divisors (33749861766999).

101210100110121 is a wasteful number, since it uses less digits than its factorization.

101210100110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3290432575.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101210100110121 its reverse (121011001012101), we get a palindrome (222221101122222).

The spelling of 101210100110121 in words is "one hundred one trillion, two hundred ten billion, one hundred million, one hundred ten thousand, one hundred twenty-one".