100120202001 has 12 divisors (see below), whose sum is σ = 145539205812. Its totient is φ = 66321661536.

The previous prime is 100120201933. The next prime is 100120202009. The reversal of 100120202001 is 100202021001.

It can be written as a sum of positive squares in 2 ways, for example, as 73739945601 + 26380256400 = 271551^2 + 162420^2 .

It is not a de Polignac number, because 100120202001 - 2⁷ = 100120201873 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 (100120202009) 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 11 ways as a sum of consecutive naturals, for example, 35426826 + ... + 35429651.

It is an arithmetic number, because the mean of its divisors is an integer number (12128267151).

Almost surely, 2^100120202001 is an apocalyptic number.

It is an amenable number.

100120202001 is a deficient number, since it is larger than the sum of its proper divisors (45419003811).

100120202001 is a wasteful number, since it uses less digits than its factorization.

100120202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70856640 (or 70856637 counting only the distinct ones).

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

Adding to 100120202001 its reverse (100202021001), we get a palindrome (200322223002).

The spelling of 100120202001 in words is "one hundred billion, one hundred twenty million, two hundred two thousand, one".