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101210021122002 = 231322927292076299
BaseRepresentation
bin10111000000110011001011…
…010110110100111111010010
3111021100120202101112101022220
4113000303023112310333102
5101231211110401401002
6555131124122441510
730214116450031362
oct2700631326647722
9437316671471286
10101210021122002
112a280a24424581
12b42721b363296
1344620aa905130
141adc83c1da9a2
15ba7a8913b7bc
hex5c0ccb5b4fd2

101210021122002 has 64 divisors (see below), whose sum is σ = 219023073360000. Its totient is φ = 30994179245568.

The previous prime is 101210021121997. The next prime is 101210021122003. The reversal of 101210021122002 is 200221120012101.

It is not an unprimeable number, because it can be changed into a prime (101210021122003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47707249 + ... + 49783547.

It is an arithmetic number, because the mean of its divisors is an integer number (3422235521250).

Almost surely, 2101210021122002 is an apocalyptic number.

101210021122002 is an abundant number, since it is smaller than the sum of its proper divisors (117813052237998).

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

101210021122002 is a wasteful number, since it uses less digits than its factorization.

101210021122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079275.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101210021122002 its reverse (200221120012101), we get a palindrome (301431141134103).

The spelling of 101210021122002 in words is "one hundred one trillion, two hundred ten billion, twenty-one million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 13 26 39 78 229 458 687 1374 2729 2977 5458 5954 8187 8931 16374 17862 35477 70954 106431 212862 624941 1249882 1874823 2076299 3749646 4152598 6228897 8124233 12457794 16248466 24372699 26991887 48745398 53983774 80975661 161951322 475472471 950944942 1426417413 2852834826 5666219971 6181142123 11332439942 12362284246 16998659913 18543426369 33997319826 37086852738 73660859623 147321719246 220982578869 441965157738 1297564373359 2595128746718 3892693120077 7785386240154 16868336853667 33736673707334 50605010561001 101210021122002