100111101101102 has 16 divisors (see below), whose sum is σ = 184820494340832. Its totient is φ = 39604391644320.

The previous prime is 100111101101087. The next prime is 100111101101107. The reversal of 100111101101102 is 201101101111001.

It is a happy number.

It is a super-2 number, since 2×100111101101102² (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 (100111101101107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 275030497349 + ... + 275030497712.

It is an arithmetic number, because the mean of its divisors is an integer number (11551280896302).

Almost surely, 2^{100111101101102} is an apocalyptic number.

100111101101102 is a deficient number, since it is larger than the sum of its proper divisors (84709393239730).

100111101101102 is a wasteful number, since it uses less digits than its factorization.

100111101101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550060995083.

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 100111101101102 its reverse (201101101111001), we get a palindrome (301212202212103).

The spelling of 100111101101102 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one hundred one thousand, one hundred two".