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101012122002 = 23111679164591
BaseRepresentation
bin101111000010011001…
…0101010100110010010
3100122201201010110121210
41132010302222212102
53123333100401002
6114223200200550
710204113604341
oct1360462524622
9318651113553
10101012122002
1139925789370
12176b0909156
1396aa4022bc
144c63645b58
15296301296c
hex1784caa992

101012122002 has 32 divisors (see below), whose sum is σ = 221709809664. Its totient is φ = 30426438800.

The previous prime is 101012121989. The next prime is 101012122033. The reversal of 101012122002 is 200221210101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4571274 + ... + 4593317.

It is an arithmetic number, because the mean of its divisors is an integer number (6928431552).

Almost surely, 2101012122002 is an apocalyptic number.

101012122002 is an abundant number, since it is smaller than the sum of its proper divisors (120697687662).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101012122002 is a wasteful number, since it uses less digits than its factorization.

101012122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9164774.

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

Adding to 101012122002 its reverse (200221210101), we get a palindrome (301233332103).

The spelling of 101012122002 in words is "one hundred one billion, twelve million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 11 22 33 66 167 334 501 1002 1837 3674 5511 11022 9164591 18329182 27493773 54987546 100810501 201621002 302431503 604863006 1530486697 3060973394 4591460091 9182920182 16835353667 33670707334 50506061001 101012122002