100102322033 has 32 divisors (see below), whose sum is σ = 122550091776. Its totient is φ = 79907908608.

The previous prime is 100102321993. The next prime is 100102322039. The reversal of 100102322033 is 330223201001.

It is not a de Polignac number, because 100102322033 - 2¹⁶ = 100102256497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100102322039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1426160 + ... + 1494702.

It is an arithmetic number, because the mean of its divisors is an integer number (3829690368).

Almost surely, 2^100102322033 is an apocalyptic number.

It is an amenable number.

100102322033 is a deficient number, since it is larger than the sum of its proper divisors (22447769743).

100102322033 is a wasteful number, since it uses less digits than its factorization.

100102322033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68813.

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 100102322033 its reverse (330223201001), we get a palindrome (430325523034).

The spelling of 100102322033 in words is "one hundred billion, one hundred two million, three hundred twenty-two thousand, thirty-three".