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101012212121202 = 2332809766576379
BaseRepresentation
bin10110111101111010111101…
…000001010111111001110010
3111020122200011201222222201000
4112331322331001113321302
5101214441002300334302
6554500211501222430
730163614532205214
oct2675727501277162
9436580151888630
10101012212121202
112a2050473a5518
12b3b4a15561a16
1344495454b57b5
141ad30350d25b4
15ba285d20731c
hex5bdebd057e72

101012212121202 has 32 divisors (see below), whose sum is σ = 224479575028800. Its totient is φ = 33669538493184.

The previous prime is 101012212121189. The next prime is 101012212121207. The reversal of 101012212121202 is 202121212210101.

101012212121202 is a `hidden beast` number, since 10 + 101 + 221 + 212 + 120 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (101012212121207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31770952 + ... + 34805427.

It is an arithmetic number, because the mean of its divisors is an integer number (7014986719650).

Almost surely, 2101012212121202 is an apocalyptic number.

101012212121202 is an abundant number, since it is smaller than the sum of its proper divisors (123467362907598).

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

101012212121202 is a wasteful number, since it uses less digits than its factorization.

101012212121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66604487 (or 66604481 counting only the distinct ones).

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

Adding to 101012212121202 its reverse (202121212210101), we get a palindrome (303133424331303).

The spelling of 101012212121202 in words is "one hundred one trillion, twelve billion, two hundred twelve million, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 28097 56194 84291 168582 252873 505746 758619 1517238 66576379 133152758 199729137 399458274 599187411 1198374822 1797562233 3595124466 1870596520763 3741193041526 5611789562289 11223579124578 16835368686867 33670737373734 50506106060601 101012212121202