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100221202221102 = 23210199015567839
BaseRepresentation
bin10110110010011010010001…
…001010000100100000101110
3111010212001102220022122100100
4112302122101022010200232
5101114011010232033402
6553052552410011530
730052512551042034
oct2662322112044056
9433761386278310
10100221202221102
1129a2a63398a956
12b2a7659a16ba6
1343bca84c31181
141aa6a36b26554
15b8beb42d871c
hex5b269128482e

100221202221102 has 48 divisors (see below), whose sum is σ = 219318086183040. Its totient is φ = 33072957720000.

The previous prime is 100221202221083. The next prime is 100221202221109. The reversal of 100221202221102 is 201122202122001.

It is a happy number.

100221202221102 is a `hidden beast` number, since 10 + 0 + 221 + 202 + 221 + 10 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221202221109) 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 23 ways as a sum of consecutive naturals, for example, 15216099 + ... + 20783937.

It is an arithmetic number, because the mean of its divisors is an integer number (4569126795480).

Almost surely, 2100221202221102 is an apocalyptic number.

100221202221102 is an abundant number, since it is smaller than the sum of its proper divisors (119096883961938).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221202221102 is a wasteful number, since it uses less digits than its factorization.

100221202221102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5577849 (or 5577846 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100221202221102 its reverse (201122202122001), we get a palindrome (301343404343103).

The spelling of 100221202221102 in words is "one hundred trillion, two hundred twenty-one billion, two hundred two million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 9 18 101 202 303 606 909 1818 9901 19802 29703 59406 89109 178218 1000001 2000002 3000003 5567839 6000006 9000009 11135678 16703517 18000018 33407034 50110551 100221102 562351739 1124703478 1687055217 3374110434 5061165651 10122331302 55127173939 110254347878 165381521817 330763043634 496144565451 992289130902 5567844567839 11135689135678 16703533703517 33407067407034 50110601110551 100221202221102