100111101022101 has 48 divisors (see below), whose sum is σ = 146341224089280. Its totient is φ = 60840401656320.

The previous prime is 100111101022043. The next prime is 100111101022151. The reversal of 100111101022101 is 101220101111001.

It is not a de Polignac number, because 100111101022101 - 2³¹ = 100108953538453 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111101022151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35694810 + ... + 38397156.

It is an arithmetic number, because the mean of its divisors is an integer number (3048775501860).

Almost surely, 2^{100111101022101} is an apocalyptic number.

It is an amenable number.

100111101022101 is a deficient number, since it is larger than the sum of its proper divisors (46230123067179).

100111101022101 is a wasteful number, since it uses less digits than its factorization.

100111101022101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703286 (or 2703273 counting only the distinct ones).

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

Adding to 100111101022101 its reverse (101220101111001), we get a palindrome (201331202133102).

The spelling of 100111101022101 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, twenty-two thousand, one hundred one".