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101020021222122 = 23310118522189443
BaseRepresentation
bin10110111110000010001110…
…011110101110101011101010
3111020200102022222012102022000
4112332002032132232223222
5101220103000413101442
6554503542421311430
730164312204364252
oct2676021636565352
9436612288172260
10101020021222122
112a208394436632
12b3b6434865576
13444a1bb309b82
141ad35762a6962
15ba2b68a94d4c
hex5be08e7aeaea

101020021222122 has 32 divisors (see below), whose sum is σ = 226711598794560. Its totient is φ = 33339940995600.

The previous prime is 101020021222121. The next prime is 101020021222157. The reversal of 101020021222122 is 221222120020101.

It is a happy number.

101020021222122 is a `hidden beast` number, since 1 + 0 + 10 + 200 + 212 + 221 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101020021222095 and 101020021222104.

It is not an unprimeable number, because it can be changed into a prime (101020021222121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9261089268 + ... + 9261100175.

It is an arithmetic number, because the mean of its divisors is an integer number (7084737462330).

Almost surely, 2101020021222122 is an apocalyptic number.

101020021222122 is an abundant number, since it is smaller than the sum of its proper divisors (125691577572438).

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

101020021222122 is a wasteful number, since it uses less digits than its factorization.

101020021222122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18522189555 (or 18522189549 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101020021222122 its reverse (221222120020101), we get a palindrome (322242141242223).

The spelling of 101020021222122 in words is "one hundred one trillion, twenty billion, twenty-one million, two hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 54 101 202 303 606 909 1818 2727 5454 18522189443 37044378886 55566568329 111133136658 166699704987 333399409974 500099114961 1000198229922 1870741133743 3741482267486 5612223401229 11224446802458 16836670203687 33673340407374 50510010611061 101020021222122