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210101100201 = 32137170398297
BaseRepresentation
bin1100001110101100000…
…0000101111010101001
3202002022022021202000200
43003223000011322221
511420241340201301
6240304043422413
721115333612506
oct3035300057251
9662268252020
10210101100201
11811156592a3
1234876524a09
1316a73c46b45
14a2518404ad
1556ea152c86
hex30eb005ea9

210101100201 has 12 divisors (see below), whose sum is σ = 305694546612. Its totient is φ = 139045009536.

The previous prime is 210101100197. The next prime is 210101100203. The reversal of 210101100201 is 102001101012.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 182769075225 + 27332024976 = 427515^2 + 165324^2 .

It is not a de Polignac number, because 210101100201 - 22 = 210101100197 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 (210101100203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85197916 + ... + 85200381.

It is an arithmetic number, because the mean of its divisors is an integer number (25474545551).

Almost surely, 2210101100201 is an apocalyptic number.

It is an amenable number.

210101100201 is a deficient number, since it is larger than the sum of its proper divisors (95593446411).

210101100201 is a wasteful number, since it uses less digits than its factorization.

210101100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170398440 (or 170398437 counting only the distinct ones).

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

Adding to 210101100201 its reverse (102001101012), we get a palindrome (312102201213).

It can be divided in two parts, 21010 and 1100201, that added together give a palindrome (1121211).

The spelling of 210101100201 in words is "two hundred ten billion, one hundred one million, one hundred thousand, two hundred one".

Divisors: 1 3 9 137 411 1233 170398297 511194891 1533584673 23344566689 70033700067 210101100201