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1010011102221 = 31163534817629
BaseRepresentation
bin11101011001010010101…
…10100101110000001101
310120120000102002002222210
432230221112211300031
5113022000320232341
62051554231101033
7132654005500662
oct16545126456015
93516012062883
101010011102221
1135a385a331a0
121438b6811779
1374322372474
1436c55c59a69
151b4155b8c16
hexeb295a5c0d

1010011102221 has 16 divisors (see below), whose sum is σ = 1469338608960. Its totient is φ = 612031461120.

The previous prime is 1010011102201. The next prime is 1010011102231. The reversal of 1010011102221 is 1222011100101.

1010011102221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010011102221 - 26 = 1010011102157 is a prime.

It is a super-2 number, since 2×10100111022212 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010011102197 and 1010011102206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010011102201) 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, 2199166 + ... + 2618463.

It is an arithmetic number, because the mean of its divisors is an integer number (91833663060).

Almost surely, 21010011102221 is an apocalyptic number.

1010011102221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1010011102221 is a deficient number, since it is larger than the sum of its proper divisors (459327506739).

1010011102221 is a wasteful number, since it uses less digits than its factorization.

1010011102221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4823996.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010011102221 its reverse (1222011100101), we get a palindrome (2232022202322).

The spelling of 1010011102221 in words is "one trillion, ten billion, eleven million, one hundred two thousand, two hundred twenty-one".

Divisors: 1 3 11 33 6353 19059 69883 209649 4817629 14452887 52993919 158981757 30606397037 91819191111 336670367407 1010011102221