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101022002111121 = 37133218311498119
BaseRepresentation
bin10110111110000100000100…
…100011001110001010010001
3111020200121110000121000011020
4112332010010203032022101
5101220121030020023441
6554504511142510053
730164412246561660
oct2676040443161221
9436617400530136
10101022002111121
112a20921060a883
12b3b68a8135329
13444a445822640
141ad36c33c8dd7
15ba2c3292ee66
hex5be1048ce291

101022002111121 has 32 divisors (see below), whose sum is σ = 165784861347840. Its totient is φ = 53284670420544.

The previous prime is 101022002111083. The next prime is 101022002111131. The reversal of 101022002111121 is 121111200220101.

It is a happy number.

It is not a de Polignac number, because 101022002111121 - 239 = 100472246297233 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101022002111121.

It is not an unprimeable number, because it can be changed into a prime (101022002111131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3036900 + ... + 14535018.

It is an arithmetic number, because the mean of its divisors is an integer number (5180776917120).

Almost surely, 2101022002111121 is an apocalyptic number.

It is an amenable number.

101022002111121 is a deficient number, since it is larger than the sum of its proper divisors (64762859236719).

101022002111121 is a wasteful number, since it uses less digits than its factorization.

101022002111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11530325.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101022002111121 its reverse (121111200220101), we get a palindrome (222133202331222).

The spelling of 101022002111121 in words is "one hundred one trillion, twenty-two billion, two million, one hundred eleven thousand, one hundred twenty-one".

Divisors: 1 3 7 13 21 39 91 273 32183 96549 225281 418379 675843 1255137 2928653 8785959 11498119 34494357 80486833 149475547 241460499 448426641 1046328829 3138986487 370043963777 1110131891331 2590307746439 4810571529101 7770923239317 14431714587303 33674000703707 101022002111121