1100012211102 has 96 divisors (see below), whose sum is σ = 2672009206272. Its totient is φ = 300452556096.

The previous prime is 1100012211091. The next prime is 1100012211113. The reversal of 1100012211102 is 2011122100011.

It is an interprime number because it is at equal distance from previous prime (1100012211091) and next prime (1100012211113).

It is a super-2 number, since 2×1100012211102² (a number of 25 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 (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12011028 + ... + 12102264.

It is an arithmetic number, because the mean of its divisors is an integer number (27833429232).

Almost surely, 2^{1100012211102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100012211102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336004603136).

1100012211102 is an abundant number, since it is smaller than the sum of its proper divisors (1571996995170).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1100012211102 is a wasteful number, since it uses less digits than its factorization.

1100012211102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93062 (or 93055 counting only the distinct ones).

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

Adding to 1100012211102 its reverse (2011122100011), we get a palindrome (3111134311113).

The spelling of 1100012211102 in words is "one trillion, one hundred billion, twelve million, two hundred eleven thousand, one hundred two".