1102100012010 has 192 divisors, whose sum is σ = 3133707782400. Its totient is φ = 267667835904.

The previous prime is 1102100011937. The next prime is 1102100012033. The reversal of 1102100012010 is 102100012011.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1102100011983 and 1102100012001.

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 95 ways as a sum of consecutive naturals, for example, 11506779 + ... + 11602161.

It is an arithmetic number, because the mean of its divisors is an integer number (16321394700).

Almost surely, 2^{1102100012010} is an apocalyptic number.

1102100012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102100012010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566853891200).

1102100012010 is an abundant number, since it is smaller than the sum of its proper divisors (2031607770390).

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

1102100012010 is a wasteful number, since it uses less digits than its factorization.

1102100012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95677 (or 95674 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1102100012010 its reverse (102100012011), we get a palindrome (1204200024021).

Subtracting from 1102100012010 its reverse (102100012011), we obtain a palindrome (999999999999).

It can be divided in two parts, 110210001 and 2010, that added together give a palindrome (110212011).

The spelling of 1102100012010 in words is "one trillion, one hundred two billion, one hundred million, twelve thousand, ten".