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1210102002221 = 72294120770361
BaseRepresentation
bin10001100110111111101…
…100110011001000101101
311021200111002101222211212
4101212333230303020231
5124311242103032341
62323525125324205
7153266312206400
oct21467754631055
94250432358755
101210102002221
1142722403a962
12176638866665
138a15c46a108
14427d803dd37
15217269e65eb
hex119bfb3322d

1210102002221 has 24 divisors (see below), whose sum is σ = 1491727398840. Its totient is φ = 977037734400.

The previous prime is 1210102002211. The next prime is 1210102002233. The reversal of 1210102002221 is 1222002010121.

It can be written as a sum of positive squares in 4 ways, for example, as 268338504196 + 941763498025 = 518014^2 + 970445^2 .

It is a de Polignac number, because none of the positive numbers 2k-1210102002221 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1210102002196 and 1210102002205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210102002211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10326920 + ... + 10443441.

It is an arithmetic number, because the mean of its divisors is an integer number (62155308285).

Almost surely, 21210102002221 is an apocalyptic number.

It is an amenable number.

1210102002221 is a deficient number, since it is larger than the sum of its proper divisors (281625396619).

1210102002221 is a wasteful number, since it uses less digits than its factorization.

1210102002221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20770445 (or 20770438 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1210102002221 its reverse (1222002010121), we get a palindrome (2432104012342).

The spelling of 1210102002221 in words is "one trillion, two hundred ten billion, one hundred two million, two thousand, two hundred twenty-one".

Divisors: 1 7 29 41 49 203 287 1189 1421 2009 8323 58261 20770361 145392527 602340469 851584801 1017747689 4216383283 5961093607 24695959229 29514682981 41727655249 172871714603 1210102002221