1021110122201 has 12 divisors (see below), whose sum is σ = 1143826687980. Its totient is φ = 910061006400.

The previous prime is 1021110122183. The next prime is 1021110122239. The reversal of 1021110122201 is 1022210111201.

It can be written as a sum of positive squares in 6 ways, for example, as 254925019801 + 766185102400 = 504901^2 + 875320^2 .

It is not a de Polignac number, because 1021110122201 - 2¹⁴ = 1021110105817 is a prime.

It is a super-2 number, since 2×1021110122201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1021110122801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104168750 + ... + 104178551.

It is an arithmetic number, because the mean of its divisors is an integer number (95318890665).

Almost surely, 2^{1021110122201} is an apocalyptic number.

It is an amenable number.

1021110122201 is a deficient number, since it is larger than the sum of its proper divisors (122716565779).

1021110122201 is a wasteful number, since it uses less digits than its factorization.

1021110122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208347356 (or 208347343 counting only the distinct ones).

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

Adding to 1021110122201 its reverse (1022210111201), we get a palindrome (2043320233402).

The spelling of 1021110122201 in words is "one trillion, twenty-one billion, one hundred ten million, one hundred twenty-two thousand, two hundred one".