1100100102101 has 96 divisors (see below), whose sum is σ = 1499935202304. Its totient is φ = 785095027200.

The previous prime is 1100100102089. The next prime is 1100100102193. The reversal of 1100100102101 is 1012010010011.

It is a happy number.

It is not a de Polignac number, because 1100100102101 - 2¹⁴ = 1100100085717 is a prime.

It is a super-2 number, since 2×1100100102101² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100100102701) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 893663156 + ... + 893664386.

It is an arithmetic number, because the mean of its divisors is an integer number (15624325024).

Almost surely, 2^{1100100102101} is an apocalyptic number.

1100100102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100100102101 is a deficient number, since it is larger than the sum of its proper divisors (399835100203).

1100100102101 is a wasteful number, since it uses less digits than its factorization.

1100100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1832 counting only the distinct ones).

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

Adding to 1100100102101 its reverse (1012010010011), we get a palindrome (2112110112112).

The spelling of 1100100102101 in words is "one trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred one".