100102002222001 has 16 divisors (see below), whose sum is σ = 115116874306560. Its totient is φ = 86337655709760.

The previous prime is 100102002221941. The next prime is 100102002222023. The reversal of 100102002222001 is 100222200201001.

It is a happy number.

It is not a de Polignac number, because 100102002222001 - 2⁷ = 100102002221873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102002222031) 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, 4282610125 + ... + 4282633498.

It is an arithmetic number, because the mean of its divisors is an integer number (7194804644160).

Almost surely, 2^{100102002222001} is an apocalyptic number.

It is an amenable number.

100102002222001 is a deficient number, since it is larger than the sum of its proper divisors (15014872084559).

100102002222001 is a wasteful number, since it uses less digits than its factorization.

100102002222001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8565243696.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 100102002222001 its reverse (100222200201001), we get a palindrome (200324202423002).

The spelling of 100102002222001 in words is "one hundred trillion, one hundred two billion, two million, two hundred twenty-two thousand, one".