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101021110020 = 223254313051823
BaseRepresentation
bin101111000010101010…
…0111100111100000100
3100122202100001002212100
41132011110330330010
53123342401010040
6114224120552100
710204253160435
oct1360524747404
9318670032770
10101021110020
113992a868186
12176b3922630
1396ac22b35c
144c6490548c
152963bdab30
hex178553cf04

101021110020 has 72 divisors (see below), whose sum is σ = 313557019776. Its totient is φ = 26312473152.

The previous prime is 101021110009. The next prime is 101021110039. The reversal of 101021110020 is 20011120101.

It is a happy number.

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 = 101021109984 and 101021110011.

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, 6518172 + ... + 6533651.

It is an arithmetic number, because the mean of its divisors is an integer number (4354958608).

Almost surely, 2101021110020 is an apocalyptic number.

101021110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021110020 is an abundant number, since it is smaller than the sum of its proper divisors (212535909756).

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

101021110020 is a wasteful number, since it uses less digits than its factorization.

101021110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13051881 (or 13051876 counting only the distinct ones).

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

Adding to 101021110020 its reverse (20011120101), we get a palindrome (121032230121).

The spelling of 101021110020 in words is "one hundred one billion, twenty-one million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 43 45 60 86 90 129 172 180 215 258 387 430 516 645 774 860 1290 1548 1935 2580 3870 7740 13051823 26103646 39155469 52207292 65259115 78310938 117466407 130518230 156621876 195777345 234932814 261036460 391554690 469865628 561228389 587332035 783109380 1122456778 1174664070 1683685167 2244913556 2349328140 2806141945 3367370334 5051055501 5612283890 6734740668 8418425835 10102111002 11224567780 16836851670 20204222004 25255277505 33673703340 50510555010 101021110020