100100001201021 has 6 divisors (see below), whose sum is σ = 144588890623710. Its totient is φ = 66733334134008.

The previous prime is 100100001201019. The next prime is 100100001201029. The reversal of 100100001201021 is 120102100001001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 91734827508900 + 8365173692121 = 9577830^2 + 2892261^2 .

It is not a de Polignac number, because 100100001201021 - 2¹ = 100100001201019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11122222355669 = 100100001201021 / (1 + 0 + 0 + 1 + 0 + 0 + 0 + 0 + 1 + 2 + 0 + 1 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 100100001200994 and 100100001201012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100001201029) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561111177826 + ... + 5561111177843.

It is an arithmetic number, because the mean of its divisors is an integer number (24098148437285).

Almost surely, 2^{100100001201021} is an apocalyptic number.

It is an amenable number.

100100001201021 is a deficient number, since it is larger than the sum of its proper divisors (44488889422689).

100100001201021 is a wasteful number, since it uses less digits than its factorization.

100100001201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11122222355675 (or 11122222355672 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100100001201021 its reverse (120102100001001), we get a palindrome (220202101202022).

The spelling of 100100001201021 in words is "one hundred trillion, one hundred billion, one million, two hundred one thousand, twenty-one".