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1001200102122 = 231164727778443
BaseRepresentation
bin11101001000111000010…
…11010010101011101010
310112201021100121221002210
432210130023102223222
5112400424211231442
62043540040505550
7132222446311023
oct16443413225352
93481240557083
101001200102122
113566743a1430
12142057a7b2b6
1373549ac763c
143665b9a1c4a
151b09bcc219c
hexe91c2d2aea

1001200102122 has 64 divisors (see below), whose sum is σ = 2188859894784. Its totient is φ = 302780096640.

The previous prime is 1001200102087. The next prime is 1001200102171. The reversal of 1001200102122 is 2212010021001.

1001200102122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1001200102098 and 1001200102107.

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, 118579233 + ... + 118587675.

It is an arithmetic number, because the mean of its divisors is an integer number (34200935856).

Almost surely, 21001200102122 is an apocalyptic number.

1001200102122 is an abundant number, since it is smaller than the sum of its proper divisors (1187659792662).

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

1001200102122 is a wasteful number, since it uses less digits than its factorization.

1001200102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11883.

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

Adding to 1001200102122 its reverse (2212010021001), we get a palindrome (3213210123123).

The spelling of 1001200102122 in words is "one trillion, one billion, two hundred million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 647 1294 1941 2777 3882 5554 7117 8331 8443 14234 16662 16886 21351 25329 30547 42702 50658 61094 91641 92873 183282 185746 278619 557238 1796719 3593438 5390157 5462621 10780314 10925242 16387863 19763909 23446211 32775726 39527818 46892422 59291727 60088831 70338633 118583454 120177662 140677266 180266493 257908321 360532986 515816642 773724963 1547449926 15169698517 30339397034 45509095551 91018191102 166866683687 333733367374 500600051061 1001200102122