1020221112101 has 2 divisors, whose sum is σ = 1020221112102. Its totient is φ = 1020221112100.

The previous prime is 1020221112089. The next prime is 1020221112137. The reversal of 1020221112101 is 1012111220201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 855282784225 + 164938327876 = 924815^2 + 406126^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1020221112101 is a prime.

It is a super-2 number, since 2×1020221112101² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1020220112101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510110556050 + 510110556051.

It is an arithmetic number, because the mean of its divisors is an integer number (510110556051).

Almost surely, 2^{1020221112101} is an apocalyptic number.

It is an amenable number.

1020221112101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1020221112101 is an equidigital number, since it uses as much as digits as its factorization.

1020221112101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 1020221112101 its reverse (1012111220201), we get a palindrome (2032332332302).

The spelling of 1020221112101 in words is "one trillion, twenty billion, two hundred twenty-one million, one hundred twelve thousand, one hundred one".