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100002222221121 = 321137154917624683
BaseRepresentation
bin10110101111001110010100…
…111011101010011101000001
3111010002010012210211001120200
4112233032110323222131001
5101101414022342033441
6552404215304355413
730030631201541103
oct2657162473523501
9433063183731520
10100002222221121
1129955782433860
12b271125a75b69
1343a522765799c
141a9a1c1dd5573
15b8644992a7b6
hex5af394eea741

100002222221121 has 48 divisors (see below), whose sum is σ = 161942646465600. Its totient is φ = 58931296709760.

The previous prime is 100002222221101. The next prime is 100002222221137. The reversal of 100002222221121 is 121122222200001.

It is a happy number.

100002222221121 is a `hidden beast` number, since 100 + 0 + 0 + 2 + 222 + 221 + 121 = 666.

It is not a de Polignac number, because 100002222221121 - 211 = 100002222219073 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100002222221094 and 100002222221103.

It is not an unprimeable number, because it can be changed into a prime (100002222221101) 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, 3138355 + ... + 14486328.

It is an arithmetic number, because the mean of its divisors is an integer number (3373805134700).

Almost surely, 2100002222221121 is an apocalyptic number.

100002222221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100002222221121 is a deficient number, since it is larger than the sum of its proper divisors (61940424244479).

100002222221121 is a wasteful number, since it uses less digits than its factorization.

100002222221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17626286 (or 17626283 counting only the distinct ones).

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

Adding to 100002222221121 its reverse (121122222200001), we get a palindrome (221124444421122).

The spelling of 100002222221121 in words is "one hundred trillion, two billion, two hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 33 37 99 111 333 407 1221 1549 3663 4647 13941 17039 51117 57313 153351 171939 515817 630443 1891329 5673987 17624683 52874049 158622147 193871513 581614539 652113271 1744843617 1956339813 5869019439 7173245981 21519737943 27300633967 64559213829 81901901901 245705705703 300306973637 900920920911 1010123456779 2702762762733 3030370370337 9091111111011 11111358024569 33334074073707 100002222221121