1102100211121 has 16 divisors (see below), whose sum is σ = 1357833858304. Its totient is φ = 871089557184.

The previous prime is 1102100211097. The next prime is 1102100211127. The reversal of 1102100211121 is 1211120012011.

It is a happy number.

It is not a de Polignac number, because 1102100211121 - 2⁹ = 1102100210609 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (1102100211127) 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, 6174150 + ... + 6350143.

It is an arithmetic number, because the mean of its divisors is an integer number (84864616144).

Almost surely, 2^{1102100211121} is an apocalyptic number.

It is an amenable number.

1102100211121 is a deficient number, since it is larger than the sum of its proper divisors (255733647183).

1102100211121 is a wasteful number, since it uses less digits than its factorization.

1102100211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12525280.

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

Adding to 1102100211121 its reverse (1211120012011), we get a palindrome (2313220223132).

The spelling of 1102100211121 in words is "one trillion, one hundred two billion, one hundred million, two hundred eleven thousand, one hundred twenty-one".