100200120020001 has 27 divisors (see below), whose sum is σ = 146928900423123. Its totient is φ = 65801742573600.

The previous prime is 100200120019963. The next prime is 100200120020057. The reversal of 100200120020001 is 100020021002001.

The square root of 100200120020001 is 10010001.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 36844887860001 + 63355232160000 = 6069999^2 + 7959600^2 .

It is not a de Polignac number, because 100200120020001 - 2⁷ = 100200120019873 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 (100200120020501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2011985301 + ... + 2012035101.

Almost surely, 2^{100200120020001} is an apocalyptic number.

100200120020001 is the 10010001-st square number.

100200120020001 is the 5005001-st centered octagonal number.

It is an amenable number.

100200120020001 is a deficient number, since it is larger than the sum of its proper divisors (46728780403122).

100200120020001 is an frugal number, since it uses more digits than its factorization.

100200120020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99742 (or 49871 counting only the distinct ones).

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

Adding to 100200120020001 its reverse (100020021002001), we get a palindrome (200220141022002).

The spelling of 100200120020001 in words is "one hundred trillion, two hundred billion, one hundred twenty million, twenty thousand, one".