10101021012200 has 144 divisors (see below), whose sum is σ = 25527782575680. Its totient is φ = 3714300656640.

The previous prime is 10101021012163. The next prime is 10101021012227. The reversal of 10101021012200 is 221012010101.

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 35 ways as a sum of consecutive naturals, for example, 453329 + ... + 4517471.

Almost surely, 2^{10101021012200} is an apocalyptic number.

10101021012200 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 10101021012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12763891287840).

10101021012200 is an abundant number, since it is smaller than the sum of its proper divisors (15426761563480).

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

10101021012200 is a wasteful number, since it uses less digits than its factorization.

10101021012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4064236 (or 4064210 counting only the distinct ones).

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

Adding to 10101021012200 its reverse (221012010101), we get a palindrome (10322033022301).

The spelling of 10101021012200 in words is "ten trillion, one hundred one billion, twenty-one million, twelve thousand, two hundred".