10101220101200 has 60 divisors (see below), whose sum is σ = 24268487289948. Its totient is φ = 4040437094400.

The previous prime is 10101220101173. The next prime is 10101220101229. The reversal of 10101220101200 is 210102210101.

It can be written as a sum of positive squares in 6 ways, for example, as 436159859776 + 9665060241424 = 660424^2 + 3108868^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 59723954 + ... + 59892846.

Almost surely, 2^{10101220101200} is an apocalyptic number.

10101220101200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101220101200 is an abundant number, since it is smaller than the sum of its proper divisors (14167267188748).

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

10101220101200 is a wasteful number, since it uses less digits than its factorization.

10101220101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318432 (or 318421 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10101220101200 its reverse (210102210101), we get a palindrome (10311322311301).

The spelling of 10101220101200 in words is "ten trillion, one hundred one billion, two hundred twenty million, one hundred one thousand, two hundred".