10033202122002 has 12 divisors (see below), whose sum is σ = 21738604597710. Its totient is φ = 3344400707328.

The previous prime is 10033202121977. The next prime is 10033202122019. The reversal of 10033202122002 is 20022120233001.

10033202122002 is a `hidden beast` number, since 100 + 3 + 320 + 21 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9996479681841 + 36722440161 = 3161721^2 + 191631^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 557400117889 = 10033202122002 / (1 + 0 + 0 + 3 + 3 + 2 + 0 + 2 + 1 + 2 + 2 + 0 + 0 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 278700058927 + ... + 278700058962.

Almost surely, 2^{10033202122002} is an apocalyptic number.

10033202122002 is an abundant number, since it is smaller than the sum of its proper divisors (11705402475708).

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

10033202122002 is a wasteful number, since it uses less digits than its factorization.

10033202122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557400117897 (or 557400117894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10033202122002 its reverse (20022120233001), we get a palindrome (30055322355003).

The spelling of 10033202122002 in words is "ten trillion, thirty-three billion, two hundred two million, one hundred twenty-two thousand, two".