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101133102221 = 1749091211857
BaseRepresentation
bin101111000110000000…
…0001010110010001101
3100200001010202220021122
41132030000022302031
53124110033232341
6114243201210325
710210113120344
oct1361400126215
9320033686248
10101133102221
1139987aaa618
12177253309a5
1396c94b0428
144c75738b5b
15296d95d94b
hex178c00ac8d

101133102221 has 8 divisors (see below), whose sum is σ = 107104010040. Its totient is φ = 95164627968.

The previous prime is 101133102211. The next prime is 101133102227. The reversal of 101133102221 is 122201331101.

It can be written as a sum of positive squares in 4 ways, for example, as 71294340100 + 29838762121 = 267010^2 + 172739^2 .

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 2k-101133102221 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101133102221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101133102227) 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, 522476 + ... + 689381.

It is an arithmetic number, because the mean of its divisors is an integer number (13388001255).

Almost surely, 2101133102221 is an apocalyptic number.

It is an amenable number.

101133102221 is a deficient number, since it is larger than the sum of its proper divisors (5970907819).

101133102221 is a wasteful number, since it uses less digits than its factorization.

101133102221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216783.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101133102221 its reverse (122201331101), we get a palindrome (223334433322).

The spelling of 101133102221 in words is "one hundred one billion, one hundred thirty-three million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 17 4909 83453 1211857 20601569 5949006013 101133102221