1020121222133 has 16 divisors (see below), whose sum is σ = 1108387526400. Its totient is φ = 933282691200.

The previous prime is 1020121222123. The next prime is 1020121222157. The reversal of 1020121222133 is 3312221210201.

It is a cyclic number.

It is not a de Polignac number, because 1020121222133 - 2¹⁸ = 1020120959989 is a prime.

It is a super-2 number, since 2×1020121222133² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020121222123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269873 + ... + 1453641.

It is an arithmetic number, because the mean of its divisors is an integer number (69274220400).

Almost surely, 2^{1020121222133} is an apocalyptic number.

1020121222133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1020121222133 is a deficient number, since it is larger than the sum of its proper divisors (88266304267).

1020121222133 is a wasteful number, since it uses less digits than its factorization.

1020121222133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184372.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 1020121222133 its reverse (3312221210201), we get a palindrome (4332342432334).

The spelling of 1020121222133 in words is "one trillion, twenty billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred thirty-three".