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100221011002020 = 22353823734368379
BaseRepresentation
bin10110110010011010000101…
…110000101000001010100100
3111010212000221120111201002010
4112302122011300220022210
5101114010112304031040
6553052521415314220
730052505036516016
oct2662320560501244
9433760846451063
10100221011002020
1129a2a545a55157
12b2a760597b970
1343bca5442c89c
141aa6a1958c1b6
15b8bea2615e80
hex5b2685c282a4

100221011002020 has 48 divisors (see below), whose sum is σ = 280619628932160. Its totient is φ = 26725526921856.

The previous prime is 100221011001989. The next prime is 100221011002093. The reversal of 100221011002020 is 20200110122001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100221011001987 and 100221011002005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20758191 + ... + 25126569.

It is an arithmetic number, because the mean of its divisors is an integer number (5846242269420).

Almost surely, 2100221011002020 is an apocalyptic number.

100221011002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221011002020 is an abundant number, since it is smaller than the sum of its proper divisors (180398617930140).

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

100221011002020 is a wasteful number, since it uses less digits than its factorization.

100221011002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4750764 (or 4750762 counting only the distinct ones).

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

Adding to 100221011002020 its reverse (20200110122001), we get a palindrome (120421121124021).

The spelling of 100221011002020 in words is "one hundred trillion, two hundred twenty-one billion, eleven million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 382373 764746 1147119 1529492 1911865 2294238 3823730 4368379 4588476 5735595 7647460 8736758 11471190 13105137 17473516 21841895 22942380 26210274 43683790 52420548 65525685 87367580 131051370 262102740 1670350183367 3340700366734 5011050550101 6681400733468 8351750916835 10022101100202 16703501833670 20044202200404 25055252750505 33407003667340 50110505501010 100221011002020