1021121101001 has 4 divisors (see below), whose sum is σ = 1021131761604. Its totient is φ = 1021110440400.

The previous prime is 1021121100973. The next prime is 1021121101019. The reversal of 1021121101001 is 1001011211201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 849989958601 + 171131142400 = 921949^2 + 413680^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021121101001 - 2¹⁴ = 1021121084617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021121106001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5185310 + ... + 5378631.

It is an arithmetic number, because the mean of its divisors is an integer number (255282940401).

Almost surely, 2^{1021121101001} is an apocalyptic number.

It is an amenable number.

1021121101001 is a deficient number, since it is larger than the sum of its proper divisors (10660603).

1021121101001 is an equidigital number, since it uses as much as digits as its factorization.

1021121101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10660602.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1021121101001 its reverse (1001011211201), we get a palindrome (2022132312202).

The spelling of 1021121101001 in words is "one trillion, twenty-one billion, one hundred twenty-one million, one hundred one thousand, one".