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101220210101101 = 7131378893912971
BaseRepresentation
bin10111000000111100101010…
…101010101100101101101101
3111021101120001110220011001011
4113000330222222230231231
5101231342442241213401
6555135531135545221
730214630110646660
oct2700745252545555
9437346043804034
10101220210101101
112a285282884363
12b4291a368b211
1344630427bb450
141add1274b36d7
15ba7e838c8451
hex5c0f2aaacb6d

101220210101101 has 32 divisors (see below), whose sum is σ = 125502302193408. Its totient is φ = 79492721518080.

The previous prime is 101220210101089. The next prime is 101220210101123. The reversal of 101220210101101 is 101101012022101.

It is a happy number.

It is not a de Polignac number, because 101220210101101 - 25 = 101220210101069 is a prime.

It is a super-2 number, since 2×1012202101011012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101220210161101) 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, 110412546 + ... + 111325516.

It is an arithmetic number, because the mean of its divisors is an integer number (3921946943544).

Almost surely, 2101220210101101 is an apocalyptic number.

It is an amenable number.

101220210101101 is a deficient number, since it is larger than the sum of its proper divisors (24282092092307).

101220210101101 is a wasteful number, since it uses less digits than its factorization.

101220210101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922021.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101220210101101 its reverse (101101012022101), we get a palindrome (202321222123202).

The spelling of 101220210101101 in words is "one hundred one trillion, two hundred twenty billion, two hundred ten million, one hundred one thousand, one hundred one".

Divisors: 1 7 13 91 137 959 1781 8893 12467 62251 115609 809263 912971 1218341 6390797 8528387 11868623 15838433 83080361 110869031 125077027 875539189 1626001351 8119051103 11382009457 56833357721 105547664339 738833650373 1112310001111 7786170007777 14460030014443 101220210101101