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101012220202201 = 711101108891192817
BaseRepresentation
bin10110111101111010111101…
…100000001100110011011001
3111020122200012022012112202021
4112331322331200030303121
5101214441011332432301
6554500212350334441
730163614660663040
oct2675727540146331
9436580168175667
10101012220202201
112a205050a14930
12b3b4a181ba421
134449547084a59
141ad30361d7557
15ba285dca18a1
hex5bdebd80ccd9

101012220202201 has 32 divisors (see below), whose sum is σ = 127196004291840. Its totient is φ = 77924283648000.

The previous prime is 101012220202151. The next prime is 101012220202249. The reversal of 101012220202201 is 102202022210101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101012220202201 - 233 = 101003630267609 is a prime.

It is a super-3 number, since 3×1010122202022013 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101012220202261) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84087345 + ... + 85280161.

It is an arithmetic number, because the mean of its divisors is an integer number (3974875134120).

Almost surely, 2101012220202201 is an apocalyptic number.

101012220202201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012220202201 is a deficient number, since it is larger than the sum of its proper divisors (26183784089639).

101012220202201 is a wasteful number, since it uses less digits than its factorization.

101012220202201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1203825.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101012220202201 its reverse (102202022210101), we get a palindrome (203214242412302).

The spelling of 101012220202201 in words is "one hundred one trillion, twelve billion, two hundred twenty million, two hundred two thousand, two hundred one".

Divisors: 1 7 11 77 101 707 1111 7777 10889 76223 119779 838453 1099789 1192817 7698523 8349719 12097679 13120987 84683753 91846909 120474517 843321619 1325219687 9276537809 12988584313 90920090191 142874427443 1000120992101 1311847015613 9182929109291 14430317171743 101012220202201