1011100020121 has 2 divisors, whose sum is σ = 1011100020122. Its totient is φ = 1011100020120.

The previous prime is 1011100020101. The next prime is 1011100020137. The reversal of 1011100020121 is 1210200011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 914481001225 + 96619018896 = 956285^2 + 310836^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011100020121 - 2²⁷ = 1010965802393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1011100020098 and 1011100020107.

It is not a weakly prime, because it can be changed into another prime (1011100020101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550010060 + 505550010061.

It is an arithmetic number, because the mean of its divisors is an integer number (505550010061).

Almost surely, 2^{1011100020121} is an apocalyptic number.

It is an amenable number.

1011100020121 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011100020121 is an equidigital number, since it uses as much as digits as its factorization.

1011100020121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011100020121 its reverse (1210200011101), we get a palindrome (2221300031222).

The spelling of 1011100020121 in words is "one trillion, eleven billion, one hundred million, twenty thousand, one hundred twenty-one".