1102133122101 has 32 divisors (see below), whose sum is σ = 1824669786240. Its totient is φ = 651667766400.

The previous prime is 1102133121967. The next prime is 1102133122117. The reversal of 1102133122101 is 1012213312011.

1102133122101 is a `hidden beast` number, since 110 + 2 + 1 + 331 + 221 + 0 + 1 = 666.

It is not a de Polignac number, because 1102133122101 - 2⁹ = 1102133121589 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102133122121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45242530 + ... + 45266883.

It is an arithmetic number, because the mean of its divisors is an integer number (57020930820).

Almost surely, 2^{1102133122101} is an apocalyptic number.

1102133122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102133122101 is a deficient number, since it is larger than the sum of its proper divisors (722536664139).

1102133122101 is a wasteful number, since it uses less digits than its factorization.

1102133122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90509474 (or 90509468 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1102133122101 its reverse (1012213312011), we get a palindrome (2114346434112).

The spelling of 1102133122101 in words is "one trillion, one hundred two billion, one hundred thirty-three million, one hundred twenty-two thousand, one hundred one".