1011021121121 has 8 divisors (see below), whose sum is σ = 1102983710688. Its totient is φ = 919067128000.

The previous prime is 1011021121049. The next prime is 1011021121139. The reversal of 1011021121121 is 1211211201101.

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 1011021121121 - 2¹⁸ = 1011020858977 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011021121096 and 1011021121105.

It is not an unprimeable number, because it can be changed into a prime (1011021121321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1901960 + ... + 2374761.

It is an arithmetic number, because the mean of its divisors is an integer number (137872963836).

Almost surely, 2^{1011021121121} is an apocalyptic number.

1011021121121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011021121121 is a deficient number, since it is larger than the sum of its proper divisors (91962589567).

1011021121121 is a wasteful number, since it uses less digits than its factorization.

1011021121121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298223.

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

Adding to 1011021121121 its reverse (1211211201101), we get a palindrome (2222232322222).

The spelling of 1011021121121 in words is "one trillion, eleven billion, twenty-one million, one hundred twenty-one thousand, one hundred twenty-one".