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101201012222211 = 32111022232446689
BaseRepresentation
bin10111000000101010110010…
…011000100110100100000011
3111021022201111112200212002200
4113000222302120212210003
5101231034133112102321
6555123034142444243
730213350265452406
oct2700526230464403
9437281445625080
10101201012222211
112a278121104850
12b425526293683
1344612a3359cb5
141adc225949d3d
15ba770d2a2d26
hex5c0ab2626903

101201012222211 has 12 divisors (see below), whose sum is σ = 159468261683640. Its totient is φ = 61333946801280.

The previous prime is 101201012222197. The next prime is 101201012222227. The reversal of 101201012222211 is 112222210102101.

101201012222211 is a `hidden beast` number, since 1 + 0 + 120 + 101 + 222 + 221 + 1 = 666.

It is not a de Polignac number, because 101201012222211 - 211 = 101201012220163 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201012022211) 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 11 ways as a sum of consecutive naturals, for example, 511116223246 + ... + 511116223443.

It is an arithmetic number, because the mean of its divisors is an integer number (13289021806970).

Almost surely, 2101201012222211 is an apocalyptic number.

101201012222211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101201012222211 is a deficient number, since it is larger than the sum of its proper divisors (58267249461429).

101201012222211 is a wasteful number, since it uses less digits than its factorization.

101201012222211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022232446706 (or 1022232446703 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101201012222211 its reverse (112222210102101), we get a palindrome (213423222324312).

The spelling of 101201012222211 in words is "one hundred one trillion, two hundred one billion, twelve million, two hundred twenty-two thousand, two hundred eleven".

Divisors: 1 3 9 11 33 99 1022232446689 3066697340067 9200092020201 11244556913579 33733670740737 101201012222211