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100101221220222 = 2335334975968281
BaseRepresentation
bin10110110000101010100001…
…101110110111111101111110
3111010102120202012220021202000
4112300222201232313331332
5101110024300113021342
6552521511032443130
730041034402256455
oct2660524156677576
9433376665807660
10100101221220222
1129993764822092
12b2883545494a6
1343b16739697b1
141aa0cd4127b9c
15b88ce0d3744c
hex5b0aa1bb7f7e

100101221220222 has 32 divisors (see below), whose sum is σ = 226644274467360. Its totient is φ = 32737506310080.

The previous prime is 100101221220193. The next prime is 100101221220227. The reversal of 100101221220222 is 222022122101001.

It is a happy number.

100101221220222 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 1 + 221 + 220 + 222 = 666.

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 = 100101221220195 and 100101221220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101221220227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17487981279 + ... + 17487987002.

It is an arithmetic number, because the mean of its divisors is an integer number (7082633577105).

Almost surely, 2100101221220222 is an apocalyptic number.

100101221220222 is an abundant number, since it is smaller than the sum of its proper divisors (126543053247138).

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

100101221220222 is a wasteful number, since it uses less digits than its factorization.

100101221220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34975968345 (or 34975968339 counting only the distinct ones).

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

Adding to 100101221220222 its reverse (222022122101001), we get a palindrome (322123343321223).

The spelling of 100101221220222 in words is "one hundred trillion, one hundred one billion, two hundred twenty-one million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 318 477 954 1431 2862 34975968281 69951936562 104927904843 209855809686 314783714529 629567429058 944351143587 1853726318893 1888702287174 3707452637786 5561178956679 11122357913358 16683536870037 33367073740074 50050610610111 100101221220222