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10012101212020 = 2252979701311711
BaseRepresentation
bin1001000110110001111110…
…1111000111011101110100
31022110010222112210111222011
42101230133233013131310
52303014240402241040
633143255032014004
72052231126061645
oct221543757073564
938403875714864
1010012101212020
113210121134796
1211584b4531304
135781a22693cb
142688343756cc
151256875073ea
hex91b1fbc7774

10012101212020 has 96 divisors (see below), whose sum is σ = 22057239859200. Its totient is φ = 3812337984000.

The previous prime is 10012101211999. The next prime is 10012101212033. The reversal of 10012101212020 is 2021210121001.

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, 31963965 + ... + 32275675.

It is an arithmetic number, because the mean of its divisors is an integer number (229762915200).

Almost surely, 210012101212020 is an apocalyptic number.

10012101212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012101212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028619929600).

10012101212020 is an abundant number, since it is smaller than the sum of its proper divisors (12045138647180).

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

10012101212020 is a wasteful number, since it uses less digits than its factorization.

10012101212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312529 (or 312527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012101212020 its reverse (2021210121001), we get a palindrome (12033311333021).

The spelling of 10012101212020 in words is "ten trillion, twelve billion, one hundred one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 79 116 145 158 290 316 395 580 701 790 1402 1580 2291 2804 3505 4582 7010 9164 11455 14020 20329 22910 40658 45820 55379 81316 101645 110758 203290 221516 276895 311711 406580 553790 623422 1107580 1246844 1558555 1605991 3117110 3211982 6234220 6423964 8029955 9039619 16059910 18079238 24625169 32119820 36158476 45198095 49250338 90396190 98500676 123125845 180792380 218509411 246251690 437018822 492503380 714129901 874037644 1092547055 1428259802 2185094110 2856519604 3570649505 4370188220 6336772919 7141299010 12673545838 14282598020 17262243469 25347091676 31683864595 34524486938 63367729190 69048973876 86311217345 126735458380 172622434690 345244869380 500605060601 1001210121202 2002420242404 2503025303005 5006050606010 10012101212020