1100122121100 has 72 divisors (see below), whose sum is σ = 3269047604368. Its totient is φ = 285437088000.

The previous prime is 1100122121093. The next prime is 1100122121107. The reversal of 1100122121100 is 11212210011.

It is an interprime number because it is at equal distance from previous prime (1100122121093) and next prime (1100122121107).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1100122121107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49543951 + ... + 49566150.

Almost surely, 2^{1100122121100} is an apocalyptic number.

1100122121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1100122121100 is an abundant number, since it is smaller than the sum of its proper divisors (2168925483268).

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

1100122121100 is a wasteful number, since it uses less digits than its factorization.

1100122121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99110155 (or 99110148 counting only the distinct ones).

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

Adding to 1100122121100 its reverse (11212210011), we get a palindrome (1111334331111).

The spelling of 1100122121100 in words is "one trillion, one hundred billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred".