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100211100201 = 3211134566689
BaseRepresentation
bin101110101010100001…
…1000000101000101001
3100120122212212100021200
41131111003000220221
53120213020201301
6114011503354413
710145216203662
oct1352503005051
9316585770250
10100211100201
113955460a883
12175085b2a09
1395b04822c4
144bc90d2369
152917a37c86
hex17550c0a29

100211100201 has 6 divisors (see below), whose sum is σ = 144749366970. Its totient is φ = 66807400128.

The previous prime is 100211100179. The next prime is 100211100239. The reversal of 100211100201 is 102001112001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 95286429225 + 4924670976 = 308685^2 + 70176^2 .

It is not a de Polignac number, because 100211100201 - 25 = 100211100169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11134566689 = 100211100201 / (1 + 0 + 0 + 2 + 1 + 1 + 1 + 0 + 0 + 2 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100211108201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5567283336 + ... + 5567283353.

It is an arithmetic number, because the mean of its divisors is an integer number (24124894495).

Almost surely, 2100211100201 is an apocalyptic number.

It is an amenable number.

100211100201 is a deficient number, since it is larger than the sum of its proper divisors (44538266769).

100211100201 is a wasteful number, since it uses less digits than its factorization.

100211100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134566695 (or 11134566692 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100211100201 its reverse (102001112001), we get a palindrome (202212212202).

The spelling of 100211100201 in words is "one hundred billion, two hundred eleven million, one hundred thousand, two hundred one".

Divisors: 1 3 9 11134566689 33403700067 100211100201