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101220122111212 = 221316723561494713
BaseRepresentation
bin10111000000111100100101…
…011011000010110011101100
3111021101112211100022210121101
4113000330211123002303230
5101231342302230024322
6555135514314012444
730214624662025456
oct2700744533026354
9437345740283541
10101220122111212
112a285238146245
12b42917a117124
13446302a4c1420
141add11992b2d6
15ba7e7ace7327
hex5c0f256c2cec

101220122111212 has 48 divisors (see below), whose sum is σ = 191911813676352. Its totient is φ = 46435172244480.

The previous prime is 101220122111179. The next prime is 101220122111219. The reversal of 101220122111212 is 212111221022101.

It is a happy number.

It is a super-2 number, since 2×1012201221112122 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101220122111212.

It is not an unprimeable number, because it can be changed into a prime (101220122111219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204356368 + ... + 204851080.

It is an arithmetic number, because the mean of its divisors is an integer number (3998162784924).

Almost surely, 2101220122111212 is an apocalyptic number.

It is an amenable number.

101220122111212 is a deficient number, since it is larger than the sum of its proper divisors (90691691565140).

101220122111212 is a wasteful number, since it uses less digits than its factorization.

101220122111212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518458 (or 518456 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 101220122111212 its reverse (212111221022101), we get a palindrome (313331343133313).

The spelling of 101220122111212 in words is "one hundred one trillion, two hundred twenty billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twelve".

Divisors: 1 2 4 13 26 52 167 334 668 2171 4342 8684 23561 47122 94244 306293 494713 612586 989426 1225172 1978852 3934687 6431269 7869374 12862538 15738748 25725076 51150931 82617071 102301862 165234142 204603724 330468284 1074021923 2148043846 4296087692 11655932993 23311865986 46623731972 151527128909 303054257818 606108515636 1946540809831 3893081619662 7786163239324 25305030527803 50610061055606 101220122111212