100120022001 has 16 divisors (see below), whose sum is σ = 148592275200. Its totient is φ = 66626838864.

The previous prime is 100120021993. The next prime is 100120022011. The reversal of 100120022001 is 100220021001.

It is not a de Polignac number, because 100120022001 - 2³ = 100120021993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100120022011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3313641 + ... + 3343718.

It is an arithmetic number, because the mean of its divisors is an integer number (9287017200).

Almost surely, 2^100120022001 is an apocalyptic number.

It is an amenable number.

100120022001 is a deficient number, since it is larger than the sum of its proper divisors (48472253199).

100120022001 is an equidigital number, since it uses as much as digits as its factorization.

100120022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6657925 (or 6657919 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120022001 its reverse (100220021001), we get a palindrome (200340043002).

It can be divided in two parts, 1001200 and 22001, that added together give a palindrome (1023201).

The spelling of 100120022001 in words is "one hundred billion, one hundred twenty million, twenty-two thousand, one".