100101201101102 has 8 divisors (see below), whose sum is σ = 150275587147176. Its totient is φ = 50009338718712.

The previous prime is 100101201101081. The next prime is 100101201101123. The reversal of 100101201101102 is 201101102101001.

It is an interprime number because it is at equal distance from previous prime (100101201101081) and next prime (100101201101123).

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

It is a super-2 number, since 2×100101201101102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 20630912888 + ... + 20630917739.

It is an arithmetic number, because the mean of its divisors is an integer number (18784448393397).

Almost surely, 2^{100101201101102} is an apocalyptic number.

100101201101102 is a deficient number, since it is larger than the sum of its proper divisors (50174386046074).

100101201101102 is a wasteful number, since it uses less digits than its factorization.

100101201101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41261831842.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101201101102 its reverse (201101102101001), we get a palindrome (301202303202103).

The spelling of 100101201101102 in words is "one hundred trillion, one hundred one billion, two hundred one million, one hundred one thousand, one hundred two".