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101220121002 = 237111337455491
BaseRepresentation
bin101111001000100110…
…0000111100110101010
3100200021012111220121110
41132101030013212222
53124244322333002
6114255550251150
710212220555410
oct1362114074652
9320235456543
10101220121002
1139a22135070
121774a4b6ab6
13971152a430
144c8310b2b0
1529763ebe6c
hex17913079aa

101220121002 has 128 divisors (see below), whose sum is σ = 279154649088. Its totient is φ = 23612601600.

The previous prime is 101220120961. The next prime is 101220121019. The reversal of 101220121002 is 200121022101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5524 + ... + 449967.

It is an arithmetic number, because the mean of its divisors is an integer number (2180895696).

Almost surely, 2101220121002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101220121002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139577324544).

101220121002 is an abundant number, since it is smaller than the sum of its proper divisors (177934528086).

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

101220121002 is a wasteful number, since it uses less digits than its factorization.

101220121002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455564.

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

Adding to 101220121002 its reverse (200121022101), we get a palindrome (301341143103).

It can be divided in two parts, 1012201 and 21002, that added together give a triangular number (1033203 = T1437).

The spelling of 101220121002 in words is "one hundred one billion, two hundred twenty million, one hundred twenty-one thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 37 39 42 66 74 77 78 91 111 143 154 182 222 231 259 273 286 407 429 462 481 518 546 777 814 858 962 1001 1221 1443 1554 2002 2442 2849 2886 3003 3367 5291 5698 6006 6734 8547 10101 10582 15873 17094 20202 31746 37037 74074 111111 222222 455491 910982 1366473 2732946 3188437 5010401 5921383 6376874 9565311 10020802 11842766 15031203 16853167 17764149 19130622 30062406 33706334 35072807 35528298 41449681 50559501 65135213 70145614 82899362 101119002 105218421 117972169 124349043 130270426 185384837 195405639 210436842 219091171 235944338 248698086 353916507 370769674 390811278 438182342 455946491 556154511 657273513 707833014 911892982 1112309022 1297693859 1314547026 1367839473 1533638197 2410002881 2595387718 2735678946 3067276394 3893081577 4600914591 4820005762 7230008643 7786163154 9201829182 14460017286 16870020167 33740040334 50610060501 101220121002