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101002212201 = 3115357748549
BaseRepresentation
bin101111000010000110…
…0110111001101101001
3100122201000110222221010
41132010030313031221
53123323031242301
6114222203534133
710203633431652
oct1360414671551
9318630428833
10101002212201
113992012aa50
12176a952a349
1396a8342807
144c621c6529
1529622065d6
hex1784337369

101002212201 has 16 divisors (see below), whose sum is σ = 149684241600. Its totient is φ = 60058489920.

The previous prime is 101002212193. The next prime is 101002212211. The reversal of 101002212201 is 102212200101.

It is not a de Polignac number, because 101002212201 - 23 = 101002212193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002212211) 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 15 ways as a sum of consecutive naturals, for example, 28872526 + ... + 28876023.

It is an arithmetic number, because the mean of its divisors is an integer number (9355265100).

Almost surely, 2101002212201 is an apocalyptic number.

101002212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101002212201 is a deficient number, since it is larger than the sum of its proper divisors (48682029399).

101002212201 is a wasteful number, since it uses less digits than its factorization.

101002212201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57748616.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101002212201 its reverse (102212200101), we get a palindrome (203214412302).

The spelling of 101002212201 in words is "one hundred one billion, two million, two hundred twelve thousand, two hundred one".

Divisors: 1 3 11 33 53 159 583 1749 57748549 173245647 635234039 1905702117 3060673097 9182019291 33667404067 101002212201