1102101121121 has 144 divisors (see below), whose sum is σ = 1607657518080. Its totient is φ = 733296245760.

The previous prime is 1102101121103. The next prime is 1102101121123. The reversal of 1102101121121 is 1211211012011.

It is not a de Polignac number, because 1102101121121 - 2²⁶ = 1102034012257 is a prime.

It is a super-2 number, since 2×1102101121121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1102101121096 and 1102101121105.

It is not an unprimeable number, because it can be changed into a prime (1102101121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 221882180 + ... + 221887146.

It is an arithmetic number, because the mean of its divisors is an integer number (11164288320).

Almost surely, 2^{1102101121121} is an apocalyptic number.

1102101121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1102101121121 is a deficient number, since it is larger than the sum of its proper divisors (505556396959).

1102101121121 is a wasteful number, since it uses less digits than its factorization.

1102101121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5104 (or 5074 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 1102101121121 its reverse (1211211012011), we get a palindrome (2313312133132).

The spelling of 1102101121121 in words is "one trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, one hundred twenty-one".