100220100202001 has 8 divisors (see below), whose sum is σ = 108269809783464. Its totient is φ = 92219029349760.

The previous prime is 100220100201961. The next prime is 100220100202031. The reversal of 100220100202001 is 100202001022001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3067930905601 + 97152169296400 = 1751551^2 + 9856580^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100220100202001 - 2³⁴ = 100202920332817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100220100202031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12159678020 + ... + 12159686261.

It is an arithmetic number, because the mean of its divisors is an integer number (13533726222933).

Almost surely, 2^{100220100202001} is an apocalyptic number.

It is an amenable number.

100220100202001 is a deficient number, since it is larger than the sum of its proper divisors (8049709581463).

100220100202001 is a wasteful number, since it uses less digits than its factorization.

100220100202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24319364611.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100220100202001 its reverse (100202001022001), we get a palindrome (200422101224002).

The spelling of 100220100202001 in words is "one hundred trillion, two hundred twenty billion, one hundred million, two hundred two thousand, one".