100011201022101 has 8 divisors (see below), whose sum is σ = 133354567337920. Its totient is φ = 66670984360512.

The previous prime is 100011201022081. The next prime is 100011201022141. The reversal of 100011201022101 is 101220102110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100011201022101 - 2¹³ = 100011201013909 is a prime.

It is a super-2 number, since 2×100011201022101² (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 (100011201022141) 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, 787339465 + ... + 787466478.

It is an arithmetic number, because the mean of its divisors is an integer number (16669320917240).

Almost surely, 2^{100011201022101} is an apocalyptic number.

It is an amenable number.

100011201022101 is a deficient number, since it is larger than the sum of its proper divisors (33343366315819).

100011201022101 is a wasteful number, since it uses less digits than its factorization.

100011201022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574827115.

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

Adding to 100011201022101 its reverse (101220102110001), we get a palindrome (201231303132102).

The spelling of 100011201022101 in words is "one hundred trillion, eleven billion, two hundred one million, twenty-two thousand, one hundred one".