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12121011210100 = 2252139323854777
BaseRepresentation
bin1011000001100010010010…
…0100010100011101110100
31120220202110010000111202211
42300120210210110131310
53042042312332210400
641440152104143204
72360466646225222
oct260304444243564
946822403014684
1012121011210100
11395354591a051
121439172167b04
1369c01123a710
142dc93534db12
15160466a6ddba
hexb0624914774

12121011210100 has 36 divisors (see below), whose sum is σ = 28325870815564. Its totient is φ = 4475450292480.

The previous prime is 12121011210043. The next prime is 12121011210101. The reversal of 12121011210100 is 101211012121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3055203351396 + 9065807858704 = 1747914^2 + 3010948^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12121011210101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4661926089 + ... + 4661928688.

Almost surely, 212121011210100 is an apocalyptic number.

12121011210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121011210100 is an abundant number, since it is smaller than the sum of its proper divisors (16204859605464).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12121011210100 is a wasteful number, since it uses less digits than its factorization.

12121011210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9323854804 (or 9323854797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121011210100 its reverse (101211012121), we get a palindrome (12222222222221).

The spelling of 12121011210100 in words is "twelve trillion, one hundred twenty-one billion, eleven million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 9323854777 18647709554 37295419108 46619273885 93238547770 121210112101 186477095540 233096369425 242420224202 466192738850 484840448404 606050560505 932385477700 1212101121010 2424202242020 3030252802525 6060505605050 12121011210100