1022133101 has 24 divisors (see below), whose sum is σ = 1223493600. Its totient is φ = 849895200.

The previous prime is 1022133097. The next prime is 1022133107. The reversal of 1022133101 is 1013312201.

It is not a de Polignac number, because 1022133101 - 2² = 1022133097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59006 + ... + 74336.

It is an arithmetic number, because the mean of its divisors is an integer number (50978900).

Almost surely, 2^1022133101 is an apocalyptic number.

1022133101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022133101 is a deficient number, since it is larger than the sum of its proper divisors (201360499).

1022133101 is a wasteful number, since it uses less digits than its factorization.

1022133101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15401 (or 15390 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1022133101 is about 31970.8163955818. The cubic root of 1022133101 is about 1007.3239294392.

Adding to 1022133101 its reverse (1013312201), we get a palindrome (2035445302).

Subtracting from 1022133101 its reverse (1013312201), we obtain a square (8820900 = 2970²).

The spelling of 1022133101 in words is "one billion, twenty-two million, one hundred thirty-three thousand, one hundred one".