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100121220222021 = 32211359175383777
BaseRepresentation
bin10110110000111101001001…
…110001000000110001000101
3111010111111100222112211201100
4112300331021301000301011
5101110341224334101041
6552535015324450313
730042343113055245
oct2660751161006105
9433444328484640
10100121220222021
11299a119772a149
12b2901b60a9999
1343b3510084c7b
141aa1c7022db25
15b895b19576b6
hex5b0f49c40c45

100121220222021 has 48 divisors (see below), whose sum is σ = 145794550561920. Its totient is φ = 66207515996160.

The previous prime is 100121220222011. The next prime is 100121220222029. The reversal of 100121220222021 is 120222022121001.

It is a happy number.

100121220222021 is a `hidden beast` number, since 10 + 0 + 1 + 212 + 202 + 220 + 21 = 666.

It is not a de Polignac number, because 100121220222021 - 227 = 100121086004293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100121220221985 and 100121220222003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121220222029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1195050085 + ... + 1195133861.

It is an arithmetic number, because the mean of its divisors is an integer number (3037386470040).

Almost surely, 2100121220222021 is an apocalyptic number.

It is an amenable number.

100121220222021 is a deficient number, since it is larger than the sum of its proper divisors (45673330339899).

100121220222021 is a wasteful number, since it uses less digits than its factorization.

100121220222021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86106 (or 86103 counting only the distinct ones).

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

Adding to 100121220222021 its reverse (120222022121001), we get a palindrome (220343242343022).

The spelling of 100121220222021 in words is "one hundred trillion, one hundred twenty-one billion, two hundred twenty million, two hundred twenty-two thousand, twenty-one".

Divisors: 1 3 9 211 359 633 1077 1753 1899 3231 5259 15777 75749 83777 227247 251331 369883 629327 681741 753993 1109649 1887981 3328947 5663943 17676947 30075943 53030841 90227829 132787997 146861081 159092523 270683487 398363991 440583243 1195091973 1321749729 6346023973 19038071919 30987688091 52723128079 57114215757 92963064273 158169384237 278889192819 474508152711 11124580024669 33373740074007 100121220222021