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101002101221110 = 251729156713074181
BaseRepresentation
bin10110111101110001100010…
…010111010110011011110110
3111020121201002002120001020211
4112331301202113112123312
5101214304300403033420
6554451420313420034
730163106140032325
oct2675614227263366
9436551062501224
10101002101221110
112a200829024641
12b3b2a7340a61a
1344485c383938b
141ad27563420bc
15ba246a73ee5a
hex5bdc625d66f6

101002101221110 has 64 divisors (see below), whose sum is σ = 199263084894720. Its totient is φ = 36689705256960.

The previous prime is 101002101221083. The next prime is 101002101221117. The reversal of 101002101221110 is 11122101200101.

It is a happy number.

It is a super-3 number, since 3×1010021012211103 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002101221117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188220 + ... + 14262400.

It is an arithmetic number, because the mean of its divisors is an integer number (3113485701480).

Almost surely, 2101002101221110 is an apocalyptic number.

101002101221110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101002101221110 is a deficient number, since it is larger than the sum of its proper divisors (98260983673610).

101002101221110 is a wasteful number, since it uses less digits than its factorization.

101002101221110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13075801.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101002101221110 its reverse (11122101200101), we get a palindrome (112124202421211).

The spelling of 101002101221110 in words is "one hundred one trillion, two billion, one hundred one million, two hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 10 17 29 34 58 85 145 170 290 493 986 1567 2465 3134 4930 7835 15670 26639 45443 53278 90886 133195 227215 266390 454430 772531 1545062 3862655 7725310 13074181 26148362 65370905 130741810 222261077 379151249 444522154 758302498 1111305385 1895756245 2222610770 3791512490 6445571233 12891142466 20487241627 32227856165 40974483254 64455712330 102436208135 204872416270 348283107659 594130007183 696566215318 1188260014366 1741415538295 2970650035915 3482831076590 5941300071830 10100210122111 20200420244222 50501050610555 101002101221110