1102100100010 has 64 divisors (see below), whose sum is σ = 2441735799552. Its totient is φ = 348773630976.

The previous prime is 1102100100007. The next prime is 1102100100071. The reversal of 1102100100010 is 100010012011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1102100099966 and 1102100100002.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18682882 + ... + 18741778.

It is an arithmetic number, because the mean of its divisors is an integer number (38152121868).

Almost surely, 2^{1102100100010} is an apocalyptic number.

1102100100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1102100100010 is an abundant number, since it is smaller than the sum of its proper divisors (1339635699542).

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

1102100100010 is a wasteful number, since it uses less digits than its factorization.

1102100100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79487.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1102100100010 its reverse (100010012011), we get a palindrome (1202110112021).

The spelling of 1102100100010 in words is "one trillion, one hundred two billion, one hundred million, one hundred thousand, ten".