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101212121010222 = 2323137101409118673
BaseRepresentation
bin10111000000110101001000…
…100001010001000000101110
3111021100210011201211202102200
4113000311020201101000232
5101231224410434311342
6555132112334402330
730214222465551435
oct2700651041210056
9437323151752380
10101212121010222
112a281901796692
12b4277066603a6
134462353984141
141adc99b05811c
15ba7b5d68094c
hex5c0d4885102e

101212121010222 has 192 divisors, whose sum is σ = 235362783352320. Its totient is φ = 31374978048000.

The previous prime is 101212121010181. The next prime is 101212121010271. The reversal of 101212121010222 is 222010121212101.

101212121010222 is a `hidden beast` number, since 10 + 1 + 212 + 1 + 210 + 10 + 222 = 666.

It is a super-3 number, since 3×1012121210102223 (a number of 43 digits) contains 333 as substring.

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 = 101212121010195 and 101212121010204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 852806278 + ... + 852924950.

It is an arithmetic number, because the mean of its divisors is an integer number (1225847829960).

Almost surely, 2101212121010222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101212121010222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117681391676160).

101212121010222 is an abundant number, since it is smaller than the sum of its proper divisors (134150662342098).

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

101212121010222 is a wasteful number, since it uses less digits than its factorization.

101212121010222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119259 (or 119256 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101212121010222 its reverse (222010121212101), we get a palindrome (323222242222323).

The spelling of 101212121010222 in words is "one hundred one trillion, two hundred twelve billion, one hundred twenty-one million, ten thousand, two hundred twenty-two".