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101020002201 = 341247160521
BaseRepresentation
bin101111000010101000…
…0101110011110011001
3100122202020221211020000
41132011100232132121
53123342110032301
6114224041123213
710204240564566
oct1360520563631
9318666854200
10101020002201
113992a180928
12176b3489509
1396abc31041
144c646d786d
152963a6c786
hex178542e799

101020002201 has 10 divisors (see below), whose sum is σ = 150906423162. Its totient is φ = 67346668080.

The previous prime is 101020002191. The next prime is 101020002229. The reversal of 101020002201 is 102200020101.

It can be written as a sum of positive squares in only one way, i.e., 95913470601 + 5106531600 = 309699^2 + 71460^2 .

It is not a de Polignac number, because 101020002201 - 25 = 101020002169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101020002001) 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 9 ways as a sum of consecutive naturals, for example, 623580180 + ... + 623580341.

Almost surely, 2101020002201 is an apocalyptic number.

It is an amenable number.

101020002201 is a deficient number, since it is larger than the sum of its proper divisors (49886420961).

101020002201 is an equidigital number, since it uses as much as digits as its factorization.

101020002201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247160533 (or 1247160524 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101020002201 its reverse (102200020101), we get a palindrome (203220022302).

The spelling of 101020002201 in words is "one hundred one billion, twenty million, two thousand, two hundred one".

Divisors: 1 3 9 27 81 1247160521 3741481563 11224444689 33673334067 101020002201