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101002111222201 = 73119914471616401
BaseRepresentation
bin10110111101110001100010…
…111101100000000110111001
3111020121201002210101011011121
4112331301202331200012321
5101214304310433102301
6554451421312025241
730163106321035120
oct2675614275400671
9436551083334147
10101002111222201
112a200833735602
12b3b2a76832221
1344485c592b597
141ad27577c6ab7
15ba246b5683a1
hex5bdc62f601b9

101002111222201 has 32 divisors (see below), whose sum is σ = 119836164915200. Its totient is φ = 83301885216000.

The previous prime is 101002111222189. The next prime is 101002111222223. The reversal of 101002111222201 is 102222111200101.

It is a cyclic number.

It is not a de Polignac number, because 101002111222201 - 225 = 101002077667769 is a prime.

It is a super-2 number, since 2×1010021112222012 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101002111223201) 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, 61677601 + ... + 63294001.

It is an arithmetic number, because the mean of its divisors is an integer number (3744880153600).

Almost surely, 2101002111222201 is an apocalyptic number.

It is an amenable number.

101002111222201 is a deficient number, since it is larger than the sum of its proper divisors (18834053692999).

101002111222201 is a wasteful number, since it uses less digits than its factorization.

101002111222201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1618085.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101002111222201 its reverse (102222111200101), we get a palindrome (203224222422302).

The spelling of 101002111222201 in words is "one hundred one trillion, two billion, one hundred eleven million, two hundred twenty-two thousand, two hundred one".

Divisors: 1 7 31 199 217 1393 1447 6169 10129 43183 44857 287953 313999 1616401 2015671 8926543 11314807 50108431 62485801 321663799 350759017 2251646593 2338932247 9971577769 16372525729 69801044383 72506899657 465447517153 507548297599 3258132620071 14428873031743 101002111222201