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101102122121022 = 232112081245370869
BaseRepresentation
bin10110111111001110101100…
…000100110011011100111110
3111020222021020201112012210100
4112333032230010303130332
5101222424121230333042
6555005401304421530
730203246556455451
oct2677165404633476
9436867221465710
10101102122121022
112a23a1952350a0
12b40a3281778a6
134454b73785a19
141ad7524083498
15ba4d7170724c
hex5bf3ac13373e

101102122121022 has 48 divisors (see below), whose sum is σ = 239083486827120. Its totient is φ = 30622284326400.

The previous prime is 101102122120963. The next prime is 101102122121087. The reversal of 101102122121022 is 220121221201101.

101102122121022 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 101102122120986 and 101102122121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 122273397 + ... + 123097472.

It is an arithmetic number, because the mean of its divisors is an integer number (4980905975565).

Almost surely, 2101102122121022 is an apocalyptic number.

101102122121022 is an abundant number, since it is smaller than the sum of its proper divisors (137981364706098).

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

101102122121022 is a wasteful number, since it uses less digits than its factorization.

101102122121022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245372969 (or 245372966 counting only the distinct ones).

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

Adding to 101102122121022 its reverse (220121221201101), we get a palindrome (321223343322123).

The spelling of 101102122121022 in words is "one hundred one trillion, one hundred two billion, one hundred twenty-two million, one hundred twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2081 4162 6243 12486 18729 22891 37458 45782 68673 137346 206019 412038 245370869 490741738 736112607 1472225214 2208337821 2699079559 4416675642 5398159118 8097238677 16194477354 24291716031 48583432062 510616778389 1021233556778 1531850335167 3063700670334 4595551005501 5616784562279 9191102011002 11233569124558 16850353686837 33700707373674 50551061060511 101102122121022