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10221111100101 = 3112313466549539
BaseRepresentation
bin1001010010111100100110…
…1100100100001011000101
31100012010110210202221101010
42110233021230210023011
52314430313420200401
633423302535152433
72103310442602146
oct224571154441305
940163423687333
1010221111100101
113290826830190
121190b05515719
13591b010bb4b5
142749c0cc3acd
1512ad1b95ced6
hex94bc9b242c5

10221111100101 has 16 divisors (see below), whose sum is σ = 15513465070080. Its totient is φ = 5925281796720.

The previous prime is 10221111100091. The next prime is 10221111100159. The reversal of 10221111100101 is 10100111112201.

Adding to 10221111100101 its reverse (10100111112201), we get a palindrome (20321222212302).

It can be divided in two parts, 1022111 and 1100101, that added together give a palindrome (2122212).

It is not a de Polignac number, because 10221111100101 - 27 = 10221111099973 is a prime.

It is a super-2 number, since 2×102211111001012 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221111100001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6733274011 + ... + 6733275528.

It is an arithmetic number, because the mean of its divisors is an integer number (969591566880).

Almost surely, 210221111100101 is an apocalyptic number.

10221111100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10221111100101 is a deficient number, since it is larger than the sum of its proper divisors (5292353969979).

10221111100101 is a wasteful number, since it uses less digits than its factorization.

10221111100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13466549576.

The product of its (nonzero) digits is 4, while the sum is 12.

The spelling of 10221111100101 in words is "ten trillion, two hundred twenty-one billion, one hundred eleven million, one hundred thousand, one hundred one".

Divisors: 1 3 11 23 33 69 253 759 13466549539 40399648617 148132044929 309730639397 444396134787 929191918191 3407037033367 10221111100101