1011121102121 has 16 divisors (see below), whose sum is σ = 1099771486800. Its totient is φ = 924025363200.

The previous prime is 1011121102049. The next prime is 1011121102151. The reversal of 1011121102121 is 1212011211101.

It can be written as a sum of positive squares in 8 ways, for example, as 254979552025 + 756141550096 = 504955^2 + 869564^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011121102121 - 2¹⁰ = 1011121101097 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1011121102096 and 1011121102105.

It is not an unprimeable number, because it can be changed into a prime (1011121102151) 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, 21421655 + ... + 21468803.

It is an arithmetic number, because the mean of its divisors is an integer number (68735717925).

Almost surely, 2^{1011121102121} is an apocalyptic number.

It is an amenable number.

1011121102121 is a deficient number, since it is larger than the sum of its proper divisors (88650384679).

1011121102121 is a wasteful number, since it uses less digits than its factorization.

1011121102121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63596.

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

Adding to 1011121102121 its reverse (1212011211101), we get a palindrome (2223132313222).

The spelling of 1011121102121 in words is "one trillion, eleven billion, one hundred twenty-one million, one hundred two thousand, one hundred twenty-one".