10021202122100 has 36 divisors (see below), whose sum is σ = 23418778500684. Its totient is φ = 3700136167680.

The previous prime is 10021202122081. The next prime is 10021202122111. The reversal of 10021202122100 is 122120212001.

10021202122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 3517590274576 + 6503611847524 = 1875524^2 + 2550218^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3854307209 + ... + 3854309808.

It is an arithmetic number, because the mean of its divisors is an integer number (650521625019).

Almost surely, 2^{10021202122100} is an apocalyptic number.

10021202122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021202122100 is an abundant number, since it is smaller than the sum of its proper divisors (13397576378584).

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

10021202122100 is a wasteful number, since it uses less digits than its factorization.

10021202122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7708617044 (or 7708617037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10021202122100 its reverse (122120212001), we get a palindrome (10143322334101).

The spelling of 10021202122100 in words is "ten trillion, twenty-one billion, two hundred two million, one hundred twenty-two thousand, one hundred".