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100121121221211 = 323141353121320441
BaseRepresentation
bin10110110000111101000011…
…110111010110101001011011
3111010111111010002021002010200
4112300331003313112221123
5101110341024013034321
6552535001430513243
730042340501424166
oct2660750367265133
9433444102232120
10100121121221211
11299a11468603a2
12b290188b05823
1343b34c57011cc
141aa1c6101cadd
15b895a7dedd26
hex5b0f43dd6a5b

100121121221211 has 96 divisors (see below), whose sum is σ = 153492780639744. Its totient is φ = 62785400832000.

The previous prime is 100121121221201. The next prime is 100121121221239. The reversal of 100121121221211 is 112122121121001.

It is a happy number.

100121121221211 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 211 + 21 + 221 + 211 = 666.

It is not a de Polignac number, because 100121121221211 - 25 = 100121121221179 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100121121221201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4898043751 + ... + 4898064191.

It is an arithmetic number, because the mean of its divisors is an integer number (1598883131664).

Almost surely, 2100121121221211 is an apocalyptic number.

100121121221211 is a deficient number, since it is larger than the sum of its proper divisors (53371659418533).

100121121221211 is a wasteful number, since it uses less digits than its factorization.

100121121221211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22085 (or 22082 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 100121121221211 its reverse (112122121121001), we get a palindrome (212243242342212).

The spelling of 100121121221211 in words is "one hundred trillion, one hundred twenty-one billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred eleven".

Divisors: 1 3 9 31 41 93 123 279 353 369 1059 1213 1271 3177 3639 3813 10917 10943 11439 14473 20441 32829 37603 43419 49733 61323 98487 112809 130257 149199 183969 338427 428189 447597 448663 633671 838081 1284567 1345989 1541723 1901013 2514243 3853701 4037967 4625169 5703039 7215673 7542729 13273859 13875507 17555749 21647019 24794933 25980511 39821577 52667247 64941057 74384799 77941533 119464731 158001741 223154397 223685863 233824599 295842593 544228219 671057589 768642923 887527779 1016592253 1632684657 2013172767 2305928769 2662583337 3049776759 4898053971 6917786307 8752611349 9149330277 9171120383 26257834047 27513361149 31514359843 78773502141 82540083447 94543079529 271330951819 283629238587 358857065309 813992855457 1076571195927 2441978566371 3229713587781 11124569024579 33373707073737 100121121221211