1011011001121 has 16 divisors (see below), whose sum is σ = 1128623208768. Its totient is φ = 897684480000.

The previous prime is 1011011001101. The next prime is 1011011001211. The reversal of 1011011001121 is 1211001101101.

It is not a de Polignac number, because 1011011001121 - 2¹⁵ = 1011010968353 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011011001098 and 1011011001107.

It is not an unprimeable number, because it can be changed into a prime (1011011001101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14617621 + ... + 14686621.

It is an arithmetic number, because the mean of its divisors is an integer number (70538950548).

Almost surely, 2^{1011011001121} is an apocalyptic number.

1011011001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1011011001121 is a deficient number, since it is larger than the sum of its proper divisors (117612207647).

1011011001121 is a wasteful number, since it uses less digits than its factorization.

1011011001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100032.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 1011011001121 its reverse (1211001101101), we get a palindrome (2222012102222).

The spelling of 1011011001121 in words is "one trillion, eleven billion, eleven million, one thousand, one hundred twenty-one".