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101001101001212 = 2223731031391050421
BaseRepresentation
bin10110111101110000100110…
…101111110100000111111100
3111020121121111101110121111102
4112331300212233310013330
5101214300223324014322
6554451133143312232
730163042303224326
oct2675604657640774
9436547441417442
10101001101001212
112a200365470625
12b3b283444b678
134448494553099
141ad269d578616
15ba240ca18792
hex5bdc26bf41fc

101001101001212 has 96 divisors (see below), whose sum is σ = 190136802186240. Its totient is φ = 46841135362560.

The previous prime is 101001101001179. The next prime is 101001101001233. The reversal of 101001101001212 is 212100101100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001101001193 and 101001101001202.

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, 95627762 + ... + 96678182.

It is an arithmetic number, because the mean of its divisors is an integer number (1980591689440).

Almost surely, 2101001101001212 is an apocalyptic number.

It is an amenable number.

101001101001212 is a deficient number, since it is larger than the sum of its proper divisors (89135701185028).

101001101001212 is a wasteful number, since it uses less digits than its factorization.

101001101001212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1050763 (or 1050761 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101001101001212 its reverse (212100101100101), we get a palindrome (313101202101313).

The spelling of 101001101001212 in words is "one hundred one trillion, one billion, one hundred one million, one thousand, two hundred twelve".

Divisors: 1 2 4 23 46 73 92 103 139 146 206 278 292 412 556 1679 2369 3197 3358 4738 6394 6716 7519 9476 10147 12788 14317 15038 20294 28634 30076 40588 57268 172937 233381 329291 345874 466762 658582 691748 933524 1045141 1050421 1317164 2090282 2100842 4180564 4201684 24038243 24159683 48076486 48319366 76680733 96152972 96638732 108193363 146008519 153361466 216386726 292017038 306722932 432773452 584034076 1763656859 2488447349 3358195937 3527313718 4976894698 6716391874 7054627436 7898115499 9953789396 10658621887 13432783748 15038877457 15796230998 21317243774 30077754914 31592461996 42634487548 60155509828 181656656477 245148303401 345894181511 363313312954 490296606802 691788363022 726626625908 980593213604 1097838054361 1383576726044 2195676108722 4391352217444 25250275250303 50500550500606 101001101001212