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12210101100 = 223252192932437
BaseRepresentation
bin10110101111100011…
…10101101101101100
31011111221110101212200
423113301311231230
5200001241213400
65335332501500
7611402101251
oct132761655554
934457411780
1012210101100
1151a631374a
12244917a890
1311c78476c2
1483b8ad428
154b6e22b00
hex2d7c75b6c

12210101100 has 216 divisors, whose sum is σ = 40440276240. Its totient is φ = 3072867840.

The previous prime is 12210101089. The next prime is 12210101117. The reversal of 12210101100 is 110101221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5009082 + ... + 5011518.

Almost surely, 212210101100 is an apocalyptic number.

12210101100 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 12210101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20220138120).

12210101100 is an abundant number, since it is smaller than the sum of its proper divisors (28230175140).

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

12210101100 is a wasteful number, since it uses less digits than its factorization.

12210101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2759 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 12210101100 its reverse (110101221), we get a palindrome (12320202321).

The spelling of 12210101100 in words is "twelve billion, two hundred ten million, one hundred one thousand, one hundred".