10100220110201 has 8 divisors (see below), whose sum is σ = 10950161195400. Its totient is φ = 9260707750272.

The previous prime is 10100220110177. The next prime is 10100220110243. The reversal of 10100220110201 is 10201102200101.

It can be written as a sum of positive squares in 4 ways, for example, as 508197894400 + 9592022215801 = 712880^2 + 3097099^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100220110201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100220110501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2607179300 + ... + 2607183173.

It is an arithmetic number, because the mean of its divisors is an integer number (1368770149425).

Almost surely, 2^{10100220110201} is an apocalyptic number.

It is an amenable number.

10100220110201 is a deficient number, since it is larger than the sum of its proper divisors (849941085199).

10100220110201 is a wasteful number, since it uses less digits than its factorization.

10100220110201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5214362635.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10100220110201 its reverse (10201102200101), we get a palindrome (20301322310302).

The spelling of 10100220110201 in words is "ten trillion, one hundred billion, two hundred twenty million, one hundred ten thousand, two hundred one".