1022100010001 has 8 divisors (see below), whose sum is σ = 1168136505984. Its totient is φ = 876069066240.

The previous prime is 1022100009977. The next prime is 1022100010003. The reversal of 1022100010001 is 1000100012201.

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 1022100010001 - 2¹⁰ = 1022100008977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1022100010003) 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, 985805 + ... + 1736666.

It is an arithmetic number, because the mean of its divisors is an integer number (146017063248).

Almost surely, 2^{1022100010001} is an apocalyptic number.

It is an amenable number.

1022100010001 is a deficient number, since it is larger than the sum of its proper divisors (146036495983).

1022100010001 is an equidigital number, since it uses as much as digits as its factorization.

1022100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2776111.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1022100010001 its reverse (1000100012201), we get a palindrome (2022200022202).

The spelling of 1022100010001 in words is "one trillion, twenty-two billion, one hundred million, ten thousand, one".