10000220101201 has 32 divisors (see below), whose sum is σ = 11108641968000. Its totient is φ = 8926467264000.

The previous prime is 10000220101177. The next prime is 10000220101213. The reversal of 10000220101201 is 10210102200001.

It is not a de Polignac number, because 10000220101201 - 2¹⁹ = 10000219576913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10000220101271) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1100008666 + ... + 1100017756.

It is an arithmetic number, because the mean of its divisors is an integer number (347145061500).

Almost surely, 2^{10000220101201} is an apocalyptic number.

10000220101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000220101201 is a deficient number, since it is larger than the sum of its proper divisors (1108421866799).

10000220101201 is a wasteful number, since it uses less digits than its factorization.

10000220101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16881.

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

Adding to 10000220101201 its reverse (10210102200001), we get a palindrome (20210322301202).

The spelling of 10000220101201 in words is "ten trillion, two hundred twenty million, one hundred one thousand, two hundred one".