1102001002100 has 18 divisors (see below), whose sum is σ = 2391342174774. Its totient is φ = 440800400800.

The previous prime is 1102001002093. The next prime is 1102001002121. The reversal of 1102001002100 is 12001002011.

It can be written as a sum of positive squares in 3 ways, for example, as 15761798116 + 1086239203984 = 125546^2 + 1042228^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5510004911 + ... + 5510005110.

It is an arithmetic number, because the mean of its divisors is an integer number (132852343043).

Almost surely, 2^{1102001002100} is an apocalyptic number.

1102001002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102001002100 is an abundant number, since it is smaller than the sum of its proper divisors (1289341172674).

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

1102001002100 is a wasteful number, since it uses less digits than its factorization.

1102001002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11020010035 (or 11020010028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1102001002100 its reverse (12001002011), we get a palindrome (1114002004111).

The spelling of 1102001002100 in words is "one trillion, one hundred two billion, one million, two thousand, one hundred".