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100012210101 = 3211112467789
BaseRepresentation
bin101110100100100110…
…0010011011110110101
3100120011000121200100200
41131021030103132311
53114311111210401
6113540040431113
710140252521316
oct1351114233665
9316130550320
10100012210101
11394623157a1
1217471a78499
13957b1c625b
144baa91c60d
15290534c686
hex17493137b5

100012210101 has 6 divisors (see below), whose sum is σ = 144462081270. Its totient is φ = 66674806728.

The previous prime is 100012210091. The next prime is 100012210139. The reversal of 100012210101 is 101012210001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 79452951876 + 20559258225 = 281874^2 + 143385^2 .

It is not a de Polignac number, because 100012210101 - 26 = 100012210037 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: 11112467789 = 100012210101 / (1 + 0 + 0 + 0 + 1 + 2 + 2 + 1 + 0 + 1 + 0 + 1).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012210141) 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, 5556233886 + ... + 5556233903.

It is an arithmetic number, because the mean of its divisors is an integer number (24077013545).

Almost surely, 2100012210101 is an apocalyptic number.

It is an amenable number.

100012210101 is a deficient number, since it is larger than the sum of its proper divisors (44449871169).

100012210101 is a wasteful number, since it uses less digits than its factorization.

100012210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11112467795 (or 11112467792 counting only the distinct ones).

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

Adding to 100012210101 its reverse (101012210001), we get a palindrome (201024420102).

The spelling of 100012210101 in words is "one hundred billion, twelve million, two hundred ten thousand, one hundred one".

Divisors: 1 3 9 11112467789 33337403367 100012210101