1102121010101 has 24 divisors (see below), whose sum is σ = 1222060606080. Its totient is φ = 991871983872.

The previous prime is 1102121010083. The next prime is 1102121010113. The reversal of 1102121010101 is 1010101212011.

It is not a de Polignac number, because 1102121010101 - 2¹⁴ = 1102120993717 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 (1102121010901) 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, 22036415 + ... + 22086371.

It is an arithmetic number, because the mean of its divisors is an integer number (50919191920).

Almost surely, 2^{1102121010101} is an apocalyptic number.

It is an amenable number.

1102121010101 is a deficient number, since it is larger than the sum of its proper divisors (119939595979).

1102121010101 is a wasteful number, since it uses less digits than its factorization.

1102121010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53333 (or 53316 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1102121010101 its reverse (1010101212011), we get a palindrome (2112222222112).

The spelling of 1102121010101 in words is "one trillion, one hundred two billion, one hundred twenty-one million, ten thousand, one hundred one".