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101012220012 = 223112273336667
BaseRepresentation
bin101111000010011001…
…1000010100001101100
3100122201201022110001210
41132010303002201230
53123333112020022
6114223202234420
710204114463154
oct1360463024154
9318651273053
10101012220012
1139925845a70
12176b0955a10
1396aa437ab2
144c6366d764
152963031a0c
hex1784cc286c

101012220012 has 48 divisors (see below), whose sum is σ = 257235898752. Its totient is φ = 30596206080.

The previous prime is 101012220007. The next prime is 101012220053. The reversal of 101012220012 is 210022210101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 101012220012.

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, 131703 + ... + 468369.

It is an arithmetic number, because the mean of its divisors is an integer number (5359081224).

Almost surely, 2101012220012 is an apocalyptic number.

101012220012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101012220012 is an abundant number, since it is smaller than the sum of its proper divisors (156223678740).

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

101012220012 is a wasteful number, since it uses less digits than its factorization.

101012220012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338958 (or 338956 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012220012 its reverse (210022210101), we get a palindrome (311034430113).

The spelling of 101012220012 in words is "one hundred one billion, twelve million, two hundred twenty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 2273 4546 6819 9092 13638 25003 27276 50006 75009 100012 150018 300036 336667 673334 1010001 1346668 2020002 3703337 4040004 7406674 11110011 14813348 22220022 44440044 765244091 1530488182 2295732273 3060976364 4591464546 8417685001 9182929092 16835370002 25253055003 33670740004 50506110006 101012220012