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101001022001210 = 25311915476914513
BaseRepresentation
bin10110111101110000100010…
…000010011101000000111010
3111020121121021212210222212102
4112331300202002131000322
5101214300043113014320
6554451121242143402
730163040323564532
oct2675604202350072
9436547255728772
10101001022001210
112a200324912771
12b3b2811ab1b62
134448481082c16
141ad2692c924c2
15ba2405b11175
hex5bdc2209d03a

101001022001210 has 128 divisors (see below), whose sum is σ = 189309287006208. Its totient is φ = 38756600064000.

The previous prime is 101001022001207. The next prime is 101001022001233. The reversal of 101001022001210 is 12100220100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001022001191 and 101001022001200.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22380015914 + ... + 22380020426.

It is an arithmetic number, because the mean of its divisors is an integer number (1478978804736).

Almost surely, 2101001022001210 is an apocalyptic number.

101001022001210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001022001210 is a deficient number, since it is larger than the sum of its proper divisors (88308265004998).

101001022001210 is a wasteful number, since it uses less digits than its factorization.

101001022001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5980.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101001022001210 its reverse (12100220100101), we get a palindrome (113101242101311).

The spelling of 101001022001210 in words is "one hundred one trillion, one billion, twenty-two million, one thousand, two hundred ten".

Divisors: 1 2 5 10 31 62 155 191 310 382 547 691 955 1094 1382 1910 2735 3455 4513 5470 5921 6910 9026 11842 16957 21421 22565 29605 33914 42842 45130 59210 84785 104477 107105 131981 139903 169570 208954 214210 263962 279806 377977 522385 659905 699515 755954 861983 1044770 1319810 1399030 1723966 1889885 2468611 3118483 3238787 3779770 4091411 4309915 4937222 6236966 6477574 8182822 8619830 11717287 12343055 15592415 16193935 20457055 23434574 24686110 26721473 31184830 32387870 40914110 53442946 58586435 72193607 76526941 96672973 117172870 133607365 144387214 153053882 193345946 267214730 360968035 382634705 471504701 483364865 595630253 721936070 765269410 943009402 966729730 1191260506 1705810201 2238001817 2357523505 2978151265 3411620402 4476003634 4715047010 5956302530 8529051005 11190009085 14616645731 17058102010 18464537843 22380018170 29233291462 36929075686 52880116231 73083228655 92322689215 105760232462 146166457310 184645378430 264400581155 325809748391 528801162310 651619496782 1629048741955 3258097483910 10100102200121 20200204400242 50500511000605 101001022001210