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100101231221120 = 275249536268111
BaseRepresentation
bin10110110000101010100010…
…010101000001100110000000
3111010102120202220201101101122
4112300222202111001212000
5101110024310143033440
6552521512031051412
730041034553261553
oct2660524225014600
9433376686641348
10100101231221120
112999376a432998
12b288357970b68
1343b1675a5b89c
141aa0cd55ac69a
15b88ce1b607b5
hex5b0aa2541980

100101231221120 has 64 divisors (see below), whose sum is σ = 239314134277440. Its totient is φ = 40038881464320.

The previous prime is 100101231221107. The next prime is 100101231221221. The reversal of 100101231221120 is 21122132101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12835865 + ... + 19103975.

It is an arithmetic number, because the mean of its divisors is an integer number (3739283348085).

Almost surely, 2100101231221120 is an apocalyptic number.

100101231221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101231221120 is an abundant number, since it is smaller than the sum of its proper divisors (139212903056320).

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

100101231221120 is an equidigital number, since it uses as much as digits as its factorization.

100101231221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6293083 (or 6293071 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 100101231221120 its reverse (21122132101001), we get a palindrome (121223363322121).

The spelling of 100101231221120 in words is "one hundred trillion, one hundred one billion, two hundred thirty-one million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 24953 49906 99812 124765 199624 249530 399248 499060 798496 998120 1596992 1996240 3193984 3992480 6268111 7984960 12536222 15969920 25072444 31340555 50144888 62681110 100289776 125362220 200579552 250724440 401159104 501448880 802318208 1002897760 2005795520 4011591040 156408173783 312816347566 625632695132 782040868915 1251265390264 1564081737830 2502530780528 3128163475660 5005061561056 6256326951320 10010123122112 12512653902640 20020246244224 25025307805280 50050615610560 100101231221120