100202102010001 has 16 divisors (see below), whose sum is σ = 103969958169168. Its totient is φ = 96503033088000.

The previous prime is 100202102009963. The next prime is 100202102010091. The reversal of 100202102010001 is 100010201202001.

It is a Cunningham number, because it is equal to 10010100²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 3929112875601 + 96272989134400 = 1982199^2 + 9811880^2 .

It is a cyclic number.

It is not a de Polignac number, because 100202102010001 - 2⁷ = 100202102009873 is a prime.

It is a super-2 number, since 2×100202102010001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100202102010001.

It is not an unprimeable number, because it can be changed into a prime (100202102010091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34505910 + ... + 37296943.

It is an arithmetic number, because the mean of its divisors is an integer number (6498122385573).

Almost surely, 2^{100202102010001} is an apocalyptic number.

It is an amenable number.

100202102010001 is a deficient number, since it is larger than the sum of its proper divisors (3767856159167).

100202102010001 is a wasteful number, since it uses less digits than its factorization.

100202102010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71803332.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100202102010001 its reverse (100010201202001), we get a palindrome (200212303212002).

The spelling of 100202102010001 in words is "one hundred trillion, two hundred two billion, one hundred two million, ten thousand, one".