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100122110121210 = 2357351454006757
BaseRepresentation
bin10110110000111101111110…
…110011101101010011111010
3111010111120200000001101220120
4112300331332303231103322
5101110400040142334320
6552535243514234110
730042404140064442
oct2660757663552372
9433446600041816
10100122110121210
11299a1603a92621
12b290404125936
1343b3622552c38
141aa1d164bb122
15b89614b3b440
hex5b0f7eced4fa

100122110121210 has 32 divisors (see below), whose sum is σ = 240325753306752. Its totient is φ = 26695597252800.

The previous prime is 100122110121181. The next prime is 100122110121251. The reversal of 100122110121210 is 12121011221001.

It is a happy number.

It is a super-3 number, since 3×1001221101212103 (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100122110121210.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226782849 + ... + 227223908.

It is an arithmetic number, because the mean of its divisors is an integer number (7510179790836).

Almost surely, 2100122110121210 is an apocalyptic number.

100122110121210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100122110121210 is an abundant number, since it is smaller than the sum of its proper divisors (140203643185542).

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

100122110121210 is a wasteful number, since it uses less digits than its factorization.

100122110121210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454014118.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100122110121210 its reverse (12121011221001), we get a palindrome (112243121342211).

The spelling of 100122110121210 in words is "one hundred trillion, one hundred twenty-two billion, one hundred ten million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 7351 14702 22053 36755 44106 73510 110265 220530 454006757 908013514 1362020271 2270033785 2724040542 4540067570 6810101355 13620202710 3337403670707 6674807341414 10012211012121 16687018353535 20024422024242 33374036707070 50061055060605 100122110121210