1022133103002 has 96 divisors (see below), whose sum is σ = 2428418019456. Its totient is φ = 308142182400.

The previous prime is 1022133102961. The next prime is 1022133103009. The reversal of 1022133103002 is 2003013312201.

1022133103002 is a `hidden beast` number, since 10 + 2 + 21 + 331 + 0 + 300 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1022133103009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39615418 + ... + 39641210.

It is an arithmetic number, because the mean of its divisors is an integer number (25296021036).

Almost surely, 2^{1022133103002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022133103002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214209009728).

1022133103002 is an abundant number, since it is smaller than the sum of its proper divisors (1406284916454).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022133103002 is a wasteful number, since it uses less digits than its factorization.

1022133103002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26836 (or 26833 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022133103002 its reverse (2003013312201), we get a palindrome (3025146415203).

The spelling of 1022133103002 in words is "one trillion, twenty-two billion, one hundred thirty-three million, one hundred three thousand, two".