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101011212120020 = 225173131330618551
BaseRepresentation
bin10110111101111010000001…
…011010101010111111010100
3111020122120121001022122222012
4112331322001122222333110
5101214431430300320040
6554455524335523352
730163551000300656
oct2675720132527724
9436576531278865
10101011212120020
112a204683980864
12b3b4796689558
134449416277c17
141ad2d7c3846d6
15ba2800525865
hex5bde816aafd4

101011212120020 has 96 divisors (see below), whose sum is σ = 232587339134976. Its totient is φ = 36683472384000.

The previous prime is 101011212120001. The next prime is 101011212120053. The reversal of 101011212120020 is 20021212110101.

It is a junction number, because it is equal to n+sod(n) for n = 101011212119977 and 101011212120004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12010256 + ... + 18608295.

It is an arithmetic number, because the mean of its divisors is an integer number (2422784782656).

Almost surely, 2101011212120020 is an apocalyptic number.

101011212120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011212120020 is an abundant number, since it is smaller than the sum of its proper divisors (131576127014956).

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

101011212120020 is a wasteful number, since it uses less digits than its factorization.

101011212120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30618921 (or 30618919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011212120020 its reverse (20021212110101), we get a palindrome (121032424230121).

The spelling of 101011212120020 in words is "one hundred one trillion, eleven billion, two hundred twelve million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 31 34 62 68 85 124 155 170 310 313 340 527 620 626 1054 1252 1565 2108 2635 3130 5270 5321 6260 9703 10540 10642 19406 21284 26605 38812 48515 53210 97030 106420 164951 194060 329902 659804 824755 1649510 3299020 30618551 61237102 122474204 153092755 306185510 520515367 612371020 949175081 1041030734 1898350162 2082061468 2602576835 3796700324 4745875405 5205153670 9491750810 9583606463 10410307340 16135976377 18983501620 19167212926 32271952754 38334425852 47918032315 64543905508 80679881885 95836064630 161359763770 162921309871 191672129260 297091800353 322719527540 325842619742 594183600706 651685239484 814606549355 1188367201412 1485459001765 1629213098710 2970918003530 3258426197420 5050560606001 5941836007060 10101121212002 20202242424004 25252803030005 50505606060010 101011212120020