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101201122011 = 31123719129293
BaseRepresentation
bin101111001000000001…
…1101001001011011011
3100200012212202122220010
41132100003221023123
53124224441401021
6114254031133003
710211600225643
oct1362003511333
9320185678803
10101201122011
1139a12438920
1217744074163
13970a607822
144c807a3523
1529748e7976
hex17900e92db

101201122011 has 16 divisors (see below), whose sum is σ = 147208976640. Its totient is φ = 61330953120.

The previous prime is 101201122003. The next prime is 101201122037. The reversal of 101201122011 is 110221102101.

It is not a de Polignac number, because 101201122011 - 23 = 101201122003 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101201122811) 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, 718081 + ... + 847373.

It is an arithmetic number, because the mean of its divisors is an integer number (9200561040).

Almost surely, 2101201122011 is an apocalyptic number.

101201122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101201122011 is a deficient number, since it is larger than the sum of its proper divisors (46007854629).

101201122011 is a wasteful number, since it uses less digits than its factorization.

101201122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153026.

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

Adding to 101201122011 its reverse (110221102101), we get a palindrome (211422224112).

The spelling of 101201122011 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, eleven".

Divisors: 1 3 11 33 23719 71157 129293 260909 387879 782727 1422223 4266669 3066700667 9200102001 33733707337 101201122011