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101210100120 = 23325281139167
BaseRepresentation
bin101111001000010010…
…1111001000110011000
3100200020111122210112200
41132100211321012120
53124234241200440
6114254551410200
710212036441123
oct1362045710630
9320214583480
10101210100120
1139a17510248
1217747083960
13970c42c20c
144c81a5d3ba
1529755bcc30
hex1790979198

101210100120 has 48 divisors (see below), whose sum is σ = 328932826560. Its totient is φ = 26989359936.

The previous prime is 101210100119. The next prime is 101210100169. The reversal of 101210100120 is 21001012101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 11 ways as a sum of consecutive naturals, for example, 140569224 + ... + 140569943.

It is an arithmetic number, because the mean of its divisors is an integer number (6852767220).

Almost surely, 2101210100120 is an apocalyptic number.

101210100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210100120 is an abundant number, since it is smaller than the sum of its proper divisors (227722726440).

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

101210100120 is a wasteful number, since it uses less digits than its factorization.

101210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281139184 (or 281139177 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101210100120 its reverse (21001012101), we get a palindrome (122211112221).

The spelling of 101210100120 in words is "one hundred one billion, two hundred ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 281139167 562278334 843417501 1124556668 1405695835 1686835002 2249113336 2530252503 2811391670 3373670004 4217087505 5060505006 5622783340 6747340008 8434175010 10121010012 11245566680 12651262515 16868350020 20242020024 25302525030 33736700040 50605050060 101210100120