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101220001221 = 383243311311
BaseRepresentation
bin101111001000100101…
…1101010010111000101
3100200021012021211022010
41132101023222113011
53124244310014341
6114255543524433
710212216546243
oct1362113522705
9320235254263
10101220001221
1139a22063079
121774a459719
1397114b7a61
144c830b9793
1529763c6716
hex17912ea5c5

101220001221 has 24 divisors (see below), whose sum is σ = 136933207936. Its totient is φ = 66507143040.

The previous prime is 101220001151. The next prime is 101220001241. The reversal of 101220001221 is 122100022101.

It is not a de Polignac number, because 101220001221 - 27 = 101220001093 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101220001197 and 101220001206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220001241) 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 23 ways as a sum of consecutive naturals, for example, 8943156 + ... + 8954466.

Almost surely, 2101220001221 is an apocalyptic number.

It is an amenable number.

101220001221 is a deficient number, since it is larger than the sum of its proper divisors (35713206715).

101220001221 is an equidigital number, since it uses as much as digits as its factorization.

101220001221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11913 (or 11830 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101220001221 its reverse (122100022101), we get a palindrome (223320023322).

The spelling of 101220001221 in words is "one hundred one billion, two hundred twenty million, one thousand, two hundred twenty-one".

Divisors: 1 3 83 249 433 1299 6889 11311 20667 33933 35939 107817 938813 2816439 2982937 4897663 8948811 14692989 77921479 233764437 406506029 1219518087 33740000407 101220001221