10021201100010 has 96 divisors (see below), whose sum is σ = 26081862468480. Its totient is φ = 2669578813824.

The previous prime is 10021201099991. The next prime is 10021201100021. The reversal of 10021201100010 is 1000110212001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 10021201099965 and 10021201100001.

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 47 ways as a sum of consecutive naturals, for example, 699455467 + ... + 699469793.

It is an arithmetic number, because the mean of its divisors is an integer number (271686067380).

Almost surely, 2^{10021201100010} is an apocalyptic number.

10021201100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10021201100010 is an abundant number, since it is smaller than the sum of its proper divisors (16060661368470).

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

10021201100010 is a wasteful number, since it uses less digits than its factorization.

10021201100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21772 (or 21769 counting only the distinct ones).

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

Adding to 10021201100010 its reverse (1000110212001), we get a palindrome (11021311312011).

The spelling of 10021201100010 in words is "ten trillion, twenty-one billion, two hundred one million, one hundred thousand, ten".