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1212121010100 = 22352711133743259
BaseRepresentation
bin10001101000111000000…
…010101100111110110100
311021212200210112012222110
4101220320002230332310
5124324410434310400
62324501331531020
7153400326405630
oct21507002547664
94255623465873
101212121010100
1142806a78a410
12176b00a59a70
138a3c183b130
144294a245dc0
15217e3db0e50
hex11a380acfb4

1212121010100 has 1728 divisors, whose sum is σ = 5035057735680. Its totient is φ = 217205452800.

The previous prime is 1212121010099. The next prime is 1212121010161. The reversal of 1212121010100 is 10101212121.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 20544423871 + ... + 20544423929.

It is an arithmetic number, because the mean of its divisors is an integer number (2913806560).

Almost surely, 21212121010100 is an apocalyptic number.

1212121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1212121010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2517528867840).

1212121010100 is an abundant number, since it is smaller than the sum of its proper divisors (3822936725580).

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

1212121010100 is a wasteful number, since it uses less digits than its factorization.

1212121010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1212121010100 its reverse (10101212121), we get a palindrome (1222222222221).

The spelling of 1212121010100 in words is "one trillion, two hundred twelve billion, one hundred twenty-one million, ten thousand, one hundred".