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101001102202011 = 31117961330239227
BaseRepresentation
bin10110111101110000100110…
…110100011001010010011011
3111020121121111110201121200110
4112331300212310121102123
5101214300224130431021
6554451133225135403
730163042316355234
oct2675604664312233
9436547443647613
10101001102202011
112a200366110820
12b3b283492a563
13444849488380b
141ad269d7ac08b
15ba240cba4476
hex5bdc26d1949b

101001102202011 has 64 divisors (see below), whose sum is σ = 148037412741120. Its totient is φ = 60744831315840.

The previous prime is 101001102202009. The next prime is 101001102202027. The reversal of 101001102202011 is 110202201100101.

It is not a de Polignac number, because 101001102202011 - 21 = 101001102202009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001102202081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10946251180 + ... + 10946260406.

It is an arithmetic number, because the mean of its divisors is an integer number (2313084574080).

Almost surely, 2101001102202011 is an apocalyptic number.

101001102202011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101001102202011 is a deficient number, since it is larger than the sum of its proper divisors (47036310539109).

101001102202011 is a wasteful number, since it uses less digits than its factorization.

101001102202011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13056.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001102202011 its reverse (110202201100101), we get a palindrome (211203303302112).

The spelling of 101001102202011 in words is "one hundred one trillion, one billion, one hundred two million, two hundred two thousand, eleven".

Divisors: 1 3 11 33 179 537 613 1839 1969 3023 5907 6743 9069 9227 20229 27681 33253 99759 101497 109727 304491 329181 541117 1206997 1623351 1651633 1853099 3620991 4954899 5559297 5656151 5952287 16968453 17856861 18167963 20384089 27893221 54503889 61152267 62217661 83679663 186652983 306825431 331704721 920476293 995114163 1012451029 3037353087 3648751931 4992886559 10946255793 11136961319 14978659677 17098544473 33410883957 51295633419 54921752149 164765256447 188083989203 564251967609 3060639460667 9181918382001 33667034067337 101001102202011