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101120102010 = 23253730366397
BaseRepresentation
bin101111000101100111…
…0100100111001111010
3100200000020022102100100
41132023032210321322
53124043221231020
6114242014420230
710206564454014
oct1361316447172
9320006272310
10101120102010
1139980730344
1217720b01676
1396c68ab0b5
144c73b131b4
15296c741a90
hex178b3a4e7a

101120102010 has 48 divisors (see below), whose sum is σ = 270018011016. Its totient is φ = 26236566144.

The previous prime is 101120101993. The next prime is 101120102033. The reversal of 101120102010 is 10201021101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98958688929 + 2161413081 = 314577^2 + 46491^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 101120101983 and 101120102001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15179869 + ... + 15186528.

Almost surely, 2101120102010 is an apocalyptic number.

101120102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101120102010 is an abundant number, since it is smaller than the sum of its proper divisors (168897909006).

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

101120102010 is a wasteful number, since it uses less digits than its factorization.

101120102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30366447 (or 30366444 counting only the distinct ones).

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

Adding to 101120102010 its reverse (10201021101), we get a palindrome (111321123111).

The spelling of 101120102010 in words is "one hundred one billion, one hundred twenty million, one hundred two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30366397 60732794 91099191 151831985 182198382 273297573 303663970 455495955 546595146 910991910 1123556689 1366487865 2247113378 2732975730 3370670067 5617783445 6741340134 10112010201 11235566890 16853350335 20224020402 33706700670 50560051005 101120102010