1011121001101 has 2 divisors, whose sum is σ = 1011121001102. Its totient is φ = 1011121001100.

The previous prime is 1011121001089. The next prime is 1011121001113. The reversal of 1011121001101 is 1011001211101.

It is a balanced prime because it is at equal distance from previous prime (1011121001089) and next prime (1011121001113).

It can be written as a sum of positive squares in only one way, i.e., 964864175625 + 46256825476 = 982275^2 + 215074^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011121001101 - 2¹³ = 1011120992909 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011121001161) 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 as a sum of consecutive naturals, namely, 505560500550 + 505560500551.

It is an arithmetic number, because the mean of its divisors is an integer number (505560500551).

Almost surely, 2^{1011121001101} is an apocalyptic number.

It is an amenable number.

1011121001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011121001101 is an equidigital number, since it uses as much as digits as its factorization.

1011121001101 is an odious number, because the sum of its binary digits is odd.

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

Adding to 1011121001101 its reverse (1011001211101), we get a palindrome (2022122212202).

The spelling of 1011121001101 in words is "one trillion, eleven billion, one hundred twenty-one million, one thousand, one hundred one".