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101220001101 = 32195952319183
BaseRepresentation
bin101111001000100101…
…1101010010101001101
3100200021012021211010200
41132101023222111031
53124244310013401
6114255543524113
710212216546012
oct1362113522515
9320235254120
10101220001101
1139a22062a7a
121774a459639
1397114b799b
144c830b9709
1529763c6686
hex17912ea54d

101220001101 has 48 divisors (see below), whose sum is σ = 156817689600. Its totient is φ = 62721457056.

The previous prime is 101220001093. The next prime is 101220001109. The reversal of 101220001101 is 101100022101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101220001093) and next prime (101220001109).

It is not a de Polignac number, because 101220001101 - 23 = 101220001093 is a prime.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220001109) 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 47 ways as a sum of consecutive naturals, for example, 5266956 + ... + 5286138.

It is an arithmetic number, because the mean of its divisors is an integer number (3267035200).

Almost surely, 2101220001101 is an apocalyptic number.

It is an amenable number.

101220001101 is a deficient number, since it is larger than the sum of its proper divisors (55597688499).

101220001101 is a wasteful number, since it uses less digits than its factorization.

101220001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19790 (or 19787 counting only the distinct ones).

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

Adding to 101220001101 its reverse (101100022101), we get a palindrome (202320023202).

The spelling of 101220001101 in words is "one hundred one billion, two hundred twenty million, one thousand, one hundred one".

Divisors: 1 3 9 19 57 59 171 177 523 531 1121 1569 3363 4707 9937 10089 19183 29811 30857 57549 89433 92571 172647 277713 364477 586283 1093431 1131797 1758849 3280293 3395391 5276547 10032709 10186173 21504143 30098127 64512429 90294381 190621471 193537287 571864413 591929831 1715593239 1775789493 5327368479 11246666789 33740000367 101220001101