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10201122221011 = 241261716174363
BaseRepresentation
bin1001010001110010001001…
…0001000010101111010011
31100010012212202011200010221
42110130202101002233103
52314113344242033021
633410155244133511
72102002214123551
oct224344221025723
940105782150127
1010201122221011
1132832a96074a7
121189067237297
1358cc66b086a7
14273a46294bd1
1512a54bb8c241
hex94722442bd3

10201122221011 has 8 divisors (see below), whose sum is σ = 10247365358384. Its totient is φ = 10154911438080.

The previous prime is 10201122220999. The next prime is 10201122221023. The reversal of 10201122221011 is 11012222110201.

It is an interprime number because it is at equal distance from previous prime (10201122220999) and next prime (10201122221023).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10201122221011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10201122221071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7456485 + ... + 8717878.

It is an arithmetic number, because the mean of its divisors is an integer number (1280920669798).

Almost surely, 210201122221011 is an apocalyptic number.

10201122221011 is a deficient number, since it is larger than the sum of its proper divisors (46243137373).

10201122221011 is a wasteful number, since it uses less digits than its factorization.

10201122221011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16177221.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10201122221011 its reverse (11012222110201), we get a palindrome (21213344331212).

The spelling of 10201122221011 in words is "ten trillion, two hundred one billion, one hundred twenty-two million, two hundred twenty-one thousand, eleven".

Divisors: 1 241 2617 630697 16174363 3898021483 42328307971 10201122221011