1011120121121 has 8 divisors (see below), whose sum is σ = 1103067475488. Its totient is φ = 919177324000.

The previous prime is 1011120121073. The next prime is 1011120121163. The reversal of 1011120121121 is 1211210211101.

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 1011120121121 - 2⁶ = 1011120121057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011120121096 and 1011120121105.

It is not an unprimeable number, because it can be changed into a prime (1011120121721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 666875 + ... + 1570656.

It is an arithmetic number, because the mean of its divisors is an integer number (137883434436).

Almost surely, 2^{1011120121121} is an apocalyptic number.

1011120121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011120121121 is a deficient number, since it is larger than the sum of its proper divisors (91947354367).

1011120121121 is a wasteful number, since it uses less digits than its factorization.

1011120121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278623.

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

Adding to 1011120121121 its reverse (1211210211101), we get a palindrome (2222330332222).

The spelling of 1011120121121 in words is "one trillion, eleven billion, one hundred twenty million, one hundred twenty-one thousand, one hundred twenty-one".