100201100100101 has 32 divisors (see below), whose sum is σ = 135867779986176. Its totient is φ = 71359128000000.

The previous prime is 100201100100061. The next prime is 100201100100107. The reversal of 100201100100101 is 101001001102001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100201100100101 - 2²⁶ = 100201032991237 is a prime.

It is a super-2 number, since 2×100201100100101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100201100100107) 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, 495448400 + ... + 495650601.

It is an arithmetic number, because the mean of its divisors is an integer number (4245868124568).

Almost surely, 2^{100201100100101} is an apocalyptic number.

100201100100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100201100100101 is a deficient number, since it is larger than the sum of its proper divisors (35666679886075).

100201100100101 is a wasteful number, since it uses less digits than its factorization.

100201100100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 991099133.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100201100100101 its reverse (101001001102001), we get a palindrome (201202101202102).

The spelling of 100201100100101 in words is "one hundred trillion, two hundred one billion, one hundred million, one hundred thousand, one hundred one".