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200101220122122 = 232111010612222839
BaseRepresentation
bin101101011111110110110010…
…001001001111111000001010
3222020111111020002011000201100
4231133312302021033320022
5202211424244322401442
61545325122000002230
760101556526206414
oct5537666211177012
9866444202130640
10200101220122122
11588384a6149240
121a538b59900376
1387866057b9977
14375ad44b319b4
15182015a48b84c
hexb5fdb224fe0a

200101220122122 has 24 divisors (see below), whose sum is σ = 472966520289120. Its totient is φ = 60636733370280.

The previous prime is 200101220122109. The next prime is 200101220122123. The reversal of 200101220122122 is 221221022101002.

It is a happy number.

200101220122122 is a `hidden beast` number, since 200 + 1 + 0 + 1 + 220 + 1 + 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 = 200101220122095 and 200101220122104.

It is not an unprimeable number, because it can be changed into a prime (200101220122123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 505306111222 + ... + 505306111617.

It is an arithmetic number, because the mean of its divisors is an integer number (19706938345380).

Almost surely, 2200101220122122 is an apocalyptic number.

200101220122122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

200101220122122 is an abundant number, since it is smaller than the sum of its proper divisors (272865300166998).

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

200101220122122 is a wasteful number, since it uses less digits than its factorization.

200101220122122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010612222858 (or 1010612222855 counting only the distinct ones).

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

Adding to 200101220122122 its reverse (221221022101002), we get a palindrome (421322242223124).

The spelling of 200101220122122 in words is "two hundred trillion, one hundred one billion, two hundred twenty million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 1010612222839 2021224445678 3031836668517 6063673337034 9095510005551 11116734451229 18191020011102 22233468902458 33350203353687 66700406707374 100050610061061 200101220122122