1121100212101 has 16 divisors (see below), whose sum is σ = 1159594882560. Its totient is φ = 1082753432640.

The previous prime is 1121100212081. The next prime is 1121100212171. The reversal of 1121100212101 is 1012120011211.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1121100212101 - 2³⁹ = 571344398213 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1121100212171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31476435 + ... + 31512031.

It is an arithmetic number, because the mean of its divisors is an integer number (72474680160).

Almost surely, 2^{1121100212101} is an apocalyptic number.

It is an amenable number.

1121100212101 is a deficient number, since it is larger than the sum of its proper divisors (38494670459).

1121100212101 is a wasteful number, since it uses less digits than its factorization.

1121100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37644.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 1121100212101 its reverse (1012120011211), we get a palindrome (2133220223312).

The spelling of 1121100212101 in words is "one trillion, one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one hundred one".