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1012210112121 = 31364740114537
BaseRepresentation
bin11101011101011000110…
…11001001011001111001
310120202200122220101110220
432232230123021121321
5113041001242041441
62053000343330253
7133062336664365
oct16565433113171
93522618811426
101012210112121
1136030424694a
1214420b150989
13745b2b18260
1436dc3d1a2a5
151b4e368c466
hexebac6c9679

1012210112121 has 16 divisors (see below), whose sum is σ = 1455676354944. Its totient is φ = 621935766144.

The previous prime is 1012210112063. The next prime is 1012210112129. The reversal of 1012210112121 is 1212110122101.

It is a happy number.

It is not a de Polignac number, because 1012210112121 - 213 = 1012210103929 is a prime.

It is a super-2 number, since 2×10122101121212 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1012210112121.

It is not an unprimeable number, because it can be changed into a prime (1012210112129) 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, 20032036 + ... + 20082501.

It is an arithmetic number, because the mean of its divisors is an integer number (90979772184).

Almost surely, 21012210112121 is an apocalyptic number.

It is an amenable number.

1012210112121 is a deficient number, since it is larger than the sum of its proper divisors (443466242823).

1012210112121 is a wasteful number, since it uses less digits than its factorization.

1012210112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40115200.

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

Adding to 1012210112121 its reverse (1212110122101), we get a palindrome (2224320234222).

It can be divided in two parts, 10122101 and 12121, that multiplied together give a palindrome (122689986221).

The spelling of 1012210112121 in words is "one trillion, twelve billion, two hundred ten million, one hundred twelve thousand, one hundred twenty-one".

Divisors: 1 3 13 39 647 1941 8411 25233 40114537 120343611 521488981 1564466943 25954105439 77862316317 337403370707 1012210112121