100201020110121 has 32 divisors (see below), whose sum is σ = 154343273414400. Its totient is φ = 56637784684800.

The previous prime is 100201020110077. The next prime is 100201020110153. The reversal of 100201020110121 is 121011020102001.

It is not a de Polignac number, because 100201020110121 - 2¹⁰ = 100201020109097 is a prime.

It is a super-2 number, since 2×100201020110121² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100201020110097 and 100201020110106.

It is not an unprimeable number, because it can be changed into a prime (100201020110171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19829166 + ... + 24363863.

It is an arithmetic number, because the mean of its divisors is an integer number (4823227294200).

Almost surely, 2^{100201020110121} is an apocalyptic number.

It is an amenable number.

100201020110121 is a deficient number, since it is larger than the sum of its proper divisors (54142253304279).

100201020110121 is a wasteful number, since it uses less digits than its factorization.

100201020110121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44194209.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100201020110121 its reverse (121011020102001), we get a palindrome (221212040212122).

The spelling of 100201020110121 in words is "one hundred trillion, two hundred one billion, twenty million, one hundred ten thousand, one hundred twenty-one".