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101222211010122 = 23237151985301817
BaseRepresentation
bin10111000000111110100001…
…111011100011111001001010
3111021101202012220221212012200
4113000332201323203321022
5101231411042004310442
6555140501454221030
730215030515255656
oct2700764173437112
9437352186855180
10101222211010122
112a28610a291984
12b4296617b4776
1344632a11c3497
141add277127a66
15ba804e3ba34c
hex5c0fa1ee3e4a

101222211010122 has 24 divisors (see below), whose sum is σ = 225242217294276. Its totient is φ = 32828825192256.

The previous prime is 101222211010061. The next prime is 101222211010229. The reversal of 101222211010122 is 221010112222101.

101222211010122 is a `hidden beast` number, since 101 + 222 + 211 + 0 + 10 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 96165069091641 + 5057141918481 = 9806379^2 + 2248809^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101222211010095 and 101222211010104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75992650243 + ... + 75992651574.

Almost surely, 2101222211010122 is an apocalyptic number.

101222211010122 is an abundant number, since it is smaller than the sum of its proper divisors (124020006284154).

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

101222211010122 is a wasteful number, since it uses less digits than its factorization.

101222211010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151985301862 (or 151985301859 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101222211010122 its reverse (221010112222101), we get a palindrome (322232323232223).

The spelling of 101222211010122 in words is "one hundred one trillion, two hundred twenty-two billion, two hundred eleven million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 151985301817 303970603634 455955905451 911911810902 1367867716353 2735735432706 5623456167229 11246912334458 16870368501687 33740737003374 50611105505061 101222211010122