10010220012100 has 288 divisors, whose sum is σ = 29216328535296. Its totient is φ = 2881126809600.

The previous prime is 10010220012097. The next prime is 10010220012103. The reversal of 10010220012100 is 121002201001.

It is an interprime number because it is at equal distance from previous prime (10010220012097) and next prime (10010220012103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10010220012103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6216264 + ... + 7659136.

It is an arithmetic number, because the mean of its divisors is an integer number (101445585192).

Almost surely, 2^{10010220012100} is an apocalyptic number.

10010220012100 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 10010220012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14608164267648).

10010220012100 is an abundant number, since it is smaller than the sum of its proper divisors (19206108523196).

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

10010220012100 is a wasteful number, since it uses less digits than its factorization.

10010220012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442975 (or 1442968 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10010220012100 its reverse (121002201001), we get a palindrome (10131222213101).

The spelling of 10010220012100 in words is "ten trillion, ten billion, two hundred twenty million, twelve thousand, one hundred".