10121221210100 has 648 divisors, whose sum is σ = 30313153584000. Its totient is φ = 2899191859200.

The previous prime is 10121221210081. The next prime is 10121221210103. The reversal of 10121221210100 is 101212212101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121221210103) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2177072576 + ... + 2177077224.

It is an arithmetic number, because the mean of its divisors is an integer number (46779558000).

Almost surely, 2^{10121221210100} is an apocalyptic number.

10121221210100 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 10121221210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15156576792000).

10121221210100 is an abundant number, since it is smaller than the sum of its proper divisors (20191932373900).

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

10121221210100 is a wasteful number, since it uses less digits than its factorization.

10121221210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4953 (or 4926 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10121221210100 its reverse (101212212101), we get a palindrome (10222433422201).

10121221210100 divided by its reverse (101212212101) gives a square (100 = 10²).

It can be divided in two parts, 1012122 and 1210100, that added together give a palindrome (2222222).

The spelling of 10121221210100 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, two hundred ten thousand, one hundred".