12200101010100 has 108 divisors (see below), whose sum is σ = 38241442497804. Its totient is φ = 3253283389440.

The previous prime is 12200101010003. The next prime is 12200101010107. The reversal of 12200101010100 is 101010100221.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 62207343396 + 12137893666704 = 249414^2 + 3483948^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200101010107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45024222 + ... + 45294378.

Almost surely, 2^{12200101010100} is an apocalyptic number.

12200101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12200101010100 is an abundant number, since it is smaller than the sum of its proper divisors (26041341487704).

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

12200101010100 is a wasteful number, since it uses less digits than its factorization.

12200101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320354 (or 320344 counting only the distinct ones).

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

Adding to 12200101010100 its reverse (101010100221), we get a palindrome (12301111110321).

The spelling of 12200101010100 in words is "twelve trillion, two hundred billion, one hundred one million, ten thousand, one hundred".