1100210012100 has 108 divisors (see below), whose sum is σ = 3460997573124. Its totient is φ = 292330103040.

The previous prime is 1100210012087. The next prime is 1100210012101. The reversal of 1100210012100 is 12100120011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1071645696 + 1099138366404 = 32736^2 + 1048398^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1100210012101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1957299 + ... + 2455898.

Almost surely, 2^{1100210012100} is an apocalyptic number.

1100210012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100210012100 is an abundant number, since it is smaller than the sum of its proper divisors (2360787561024).

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

1100210012100 is a wasteful number, since it uses less digits than its factorization.

1100210012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4413494 (or 4413484 counting only the distinct ones).

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

Adding to 1100210012100 its reverse (12100120011), we get a palindrome (1112310132111).

The spelling of 1100210012100 in words is "one trillion, one hundred billion, two hundred ten million, twelve thousand, one hundred".