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1011212212101 = 371359912374999
BaseRepresentation
bin11101011011100001111…
…00011101011110000101
310120200010010011210222220
432231300330131132011
5113031430311241401
62052313335042553
7133025531661030
oct16556074353605
93520103153886
101011212212101
1135a941a27893
12143b90b10459
1374484164b80
1436d2b598017
151b485c73336
hexeb70f1d785

1011212212101 has 64 divisors (see below), whose sum is σ = 1663872000000. Its totient is φ = 531959291136.

The previous prime is 1011212212091. The next prime is 1011212212123. The reversal of 1011212212101 is 1012122121101.

It is a happy number.

It is not a de Polignac number, because 1011212212101 - 26 = 1011212212037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011212212601) 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 63 ways as a sum of consecutive naturals, for example, 202280400 + ... + 202285398.

It is an arithmetic number, because the mean of its divisors is an integer number (25998000000).

Almost surely, 21011212212101 is an apocalyptic number.

It is an amenable number.

1011212212101 is a deficient number, since it is larger than the sum of its proper divisors (652659787899).

1011212212101 is a wasteful number, since it uses less digits than its factorization.

1011212212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6858.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 1011212212101 its reverse (1012122121101), we get a palindrome (2023334333202).

The spelling of 1011212212101 in words is "one trillion, eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred one".

Divisors: 1 3 7 13 21 39 91 273 599 1237 1797 3711 4193 4999 7787 8659 12579 14997 16081 23361 25977 34993 48243 54509 64987 104979 112567 163527 194961 337701 454909 740963 1364727 2222889 2994401 5186741 6183763 8983203 9632519 15560223 18551289 20960807 28897557 38927213 43286341 62882421 67427633 80388919 116781639 129859023 202282899 241166757 272490491 562722433 817471473 1688167299 3704074037 11112222111 25928518259 48152962481 77785554777 144458887443 337070737367 1011212212101