1100112002121 has 64 divisors (see below), whose sum is σ = 1733403525120. Its totient is φ = 613075752960.

The previous prime is 1100112002113. The next prime is 1100112002123. The reversal of 1100112002121 is 1212002110011.

It is not a de Polignac number, because 1100112002121 - 2³ = 1100112002113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1100112002097 and 1100112002106.

It is not an unprimeable number, because it can be changed into a prime (1100112002123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14966160 + ... + 15039486.

It is an arithmetic number, because the mean of its divisors is an integer number (27084430080).

Almost surely, 2^{1100112002121} is an apocalyptic number.

1100112002121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1100112002121 is a deficient number, since it is larger than the sum of its proper divisors (633291522999).

1100112002121 is a wasteful number, since it uses less digits than its factorization.

1100112002121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73974.

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

Adding to 1100112002121 its reverse (1212002110011), we get a palindrome (2312114112132).

The spelling of 1100112002121 in words is "one trillion, one hundred billion, one hundred twelve million, two thousand, one hundred twenty-one".