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101102221020 = 223523371980067
BaseRepresentation
bin101111000101000101…
…0010111011011011100
3100122221222122222020110
41132022022113123130
53124024132033040
6114240135250020
710206256461603
oct1361212273334
9318858588213
10101102221020
1139971628069
1217716b19910
1396c2c8a328
144c715baa3a
15296adad980
hex178a2976dc

101102221020 has 96 divisors (see below), whose sum is σ = 303378098688. Its totient is φ = 25091396352.

The previous prime is 101102221019. The next prime is 101102221079. The reversal of 101102221020 is 20122201101.

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 = 101102220987 and 101102221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 938974 + ... + 1041093.

It is an arithmetic number, because the mean of its divisors is an integer number (3160188528).

Almost surely, 2101102221020 is an apocalyptic number.

101102221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102221020 is an abundant number, since it is smaller than the sum of its proper divisors (202275877668).

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

101102221020 is a wasteful number, since it uses less digits than its factorization.

101102221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980139 (or 1980137 counting only the distinct ones).

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

Adding to 101102221020 its reverse (20122201101), we get a palindrome (121224422121).

The spelling of 101102221020 in words is "one hundred one billion, one hundred two million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 555 690 740 851 1110 1380 1702 2220 2553 3404 4255 5106 8510 10212 12765 17020 25530 51060 1980067 3960134 5940201 7920268 9900335 11880402 19800670 23760804 29701005 39601340 45541541 59402010 73262479 91083082 118804020 136624623 146524958 182166164 219787437 227707705 273249246 293049916 366312395 439574874 455415410 546498492 683123115 732624790 879149748 910830820 1098937185 1366246230 1465249580 1685037017 2197874370 2732492460 3370074034 4395748740 5055111051 6740148068 8425185085 10110222102 16850370170 20220444204 25275555255 33700740340 50551110510 101102221020