10021202210100 has 576 divisors, whose sum is σ = 31825563033600. Its totient is φ = 2428694016000.

The previous prime is 10021202210057. The next prime is 10021202210143. The reversal of 10021202210100 is 101220212001.

10021202210100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10021202210057) and next prime (10021202210143).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1190303691 + ... + 1190312109.

It is an arithmetic number, because the mean of its divisors is an integer number (55252713600).

Almost surely, 2^{10021202210100} is an apocalyptic number.

10021202210100 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 10021202210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15912781516800).

10021202210100 is an abundant number, since it is smaller than the sum of its proper divisors (21804360823500).

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

10021202210100 is a wasteful number, since it uses less digits than its factorization.

10021202210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8624 (or 8617 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10021202210100 its reverse (101220212001), we get a palindrome (10122422422101).

The spelling of 10021202210100 in words is "ten trillion, twenty-one billion, two hundred two million, two hundred ten thousand, one hundred".