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101002020221120 = 2651583571993163
BaseRepresentation
bin10110111101110001011101…
…100010010111000011000000
3111020121200212110010211011012
4112331301131202113003000
5101214304114134033440
6554451404301340052
730163104134402624
oct2675613542270300
9436550773124135
10101002020221120
112a2007973300a7
12b3b2a50267628
1344485acb18aa5
141ad2749699184
15ba246358ee65
hex5bdc5d8970c0

101002020221120 has 56 divisors (see below), whose sum is σ = 240512700110544. Its totient is φ = 40400532694016.

The previous prime is 101002020221111. The next prime is 101002020221129. The reversal of 101002020221120 is 21122020200101.

It is an interprime number because it is at equal distance from previous prime (101002020221111) and next prime (101002020221129).

It is a junction number, because it is equal to n+sod(n) for n = 101002020221095 and 101002020221104.

It is not an unprimeable number, because it can be changed into a prime (101002020221129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49677659 + ... + 51670821.

Almost surely, 2101002020221120 is an apocalyptic number.

101002020221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002020221120 is an abundant number, since it is smaller than the sum of its proper divisors (139510679889424).

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

101002020221120 is a wasteful number, since it uses less digits than its factorization.

101002020221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151537 (or 2151527 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101002020221120 its reverse (21122020200101), we get a palindrome (122124040421221).

The spelling of 101002020221120 in words is "one hundred one trillion, two billion, twenty million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 158357 316714 633428 791785 1266856 1583570 1993163 2533712 3167140 3986326 5067424 6334280 7972652 9965815 10134848 12668560 15945304 19931630 25337120 31890608 39863260 50674240 63781216 79726520 127562432 159453040 318906080 637812160 315631313191 631262626382 1262525252764 1578156565955 2525050505528 3156313131910 5050101011056 6312626263820 10100202022112 12625252527640 20200404044224 25250505055280 50501010110560 101002020221120