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12101002200100 = 22521121521511171
BaseRepresentation
bin1011000000010111101111…
…1100000000010000100100
31120211211210122112111010101
42300011323330000100210
53041230323030400400
641423042413433444
72356161054364132
oct260057374002044
946754718474111
1012101002200100
1139460082a6750
12143530919b884
1369a172a29a28
142db997ba0752
1515eb9512356a
hexb017bf00424

12101002200100 has 72 divisors (see below), whose sum is σ = 28647759613536. Its totient is φ = 4400151360000.

The previous prime is 12101002200029. The next prime is 12101002200109. The reversal of 12101002200100 is 100220010121.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (12101002200109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23417515 + ... + 23928685.

It is an arithmetic number, because the mean of its divisors is an integer number (397885550188).

Almost surely, 212101002200100 is an apocalyptic number.

12101002200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12101002200100 is an abundant number, since it is smaller than the sum of its proper divisors (16546757413436).

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

12101002200100 is a wasteful number, since it uses less digits than its factorization.

12101002200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532717 (or 532710 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 12101002200100 its reverse (100220010121), we get a palindrome (12201222210221).

The spelling of 12101002200100 in words is "twelve trillion, one hundred one billion, two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 21521 43042 86084 107605 215210 236731 430420 473462 511171 538025 946924 1022342 1076050 1183655 2044684 2152100 2367310 2555855 4734620 5111710 5622881 5918275 10223420 11245762 11836550 12779275 22491524 23673100 25558550 28114405 51117100 56228810 112457620 140572025 281144050 562288100 11000911091 22001822182 44003644364 55004555455 110009110910 121010022001 220018221820 242020044002 275022777275 484040088004 550045554550 605050110005 1100091109100 1210100220010 2420200440020 3025250550025 6050501100050 12101002200100