1121012101121 has 8 divisors (see below), whose sum is σ = 1223002005984. Its totient is φ = 1019035481920.

The previous prime is 1121012101103. The next prime is 1121012101123. The reversal of 1121012101121 is 1211012101211.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1121012101121 - 2²² = 1121007906817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1121012101096 and 1121012101105.

It is not an unprimeable number, because it can be changed into a prime (1121012101123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3144575 + ... + 3482868.

It is an arithmetic number, because the mean of its divisors is an integer number (152875250748).

Almost surely, 2^{1121012101121} is an apocalyptic number.

1121012101121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1121012101121 is a deficient number, since it is larger than the sum of its proper divisors (101989904863).

1121012101121 is a wasteful number, since it uses less digits than its factorization.

1121012101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642831.

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

Adding to 1121012101121 its reverse (1211012101211), we get a palindrome (2332024202332).

The spelling of 1121012101121 in words is "one trillion, one hundred twenty-one billion, twelve million, one hundred one thousand, one hundred twenty-one".