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101010222021201 = 317371631183927739
BaseRepresentation
bin10110111101111001000110…
…011001101111101001010001
3111020122111001001021102201120
4112331321012121233221101
5101214422413314134301
6554455242210352453
730163514315505333
oct2675710631575121
9436574031242646
10101010222021201
112a204215aaa979
12b3b455ab8b729
1344492b90c662c
141ad2cc6a93453
15ba279364ce36
hex5bde4666fa51

101010222021201 has 64 divisors (see below), whose sum is σ = 147373059686400. Its totient is φ = 61280312749056.

The previous prime is 101010222021119. The next prime is 101010222021211. The reversal of 101010222021201 is 102120222010101.

It is not a de Polignac number, because 101010222021201 - 229 = 101009685150289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101010222021211) 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, 3641437590 + ... + 3641465328.

It is an arithmetic number, because the mean of its divisors is an integer number (2302704057600).

Almost surely, 2101010222021201 is an apocalyptic number.

It is an amenable number.

101010222021201 is a deficient number, since it is larger than the sum of its proper divisors (46362837665199).

101010222021201 is a wasteful number, since it uses less digits than its factorization.

101010222021201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39798.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101010222021201 its reverse (102120222010101), we get a palindrome (203130444031302).

The spelling of 101010222021201 in words is "one hundred one trillion, ten billion, two hundred twenty-two million, twenty-one thousand, two hundred one".

Divisors: 1 3 17 37 51 111 163 489 629 1887 2771 6031 8313 11839 18093 27739 35517 83217 102527 201263 307581 438043 471563 603789 1026343 1314129 1414689 1929757 3079029 4521457 5789271 7446731 13564371 17447831 22340193 32805869 52343493 71401009 76864769 98417607 167293909 214203027 230594307 328402021 501881727 985206063 1213817153 2843996453 3641451459 5582834357 8531989359 12150874777 16748503071 36452624331 53529529423 160588588269 206564871209 619694613627 910002000191 1980592588651 2730006000573 5941777765953 33670074007067 101010222021201