10121210100 has 108 divisors (see below), whose sum is σ = 33590561004. Its totient is φ = 2540221440.

The previous prime is 10121210081. The next prime is 10121210107. The reversal of 10121210100 is 101212101.

It is a happy number.

10121210100 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 689692644 + 9431517456 = 26262^2 + 97116^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121210107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 315459 + ... + 346058.

It is an arithmetic number, because the mean of its divisors is an integer number (311023713).

Almost surely, 2^10121210100 is an apocalyptic number.

10121210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121210100 is an abundant number, since it is smaller than the sum of its proper divisors (23469350904).

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

10121210100 is a wasteful number, since it uses less digits than its factorization.

10121210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661554 (or 661544 counting only the distinct ones).

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

Adding to 10121210100 its reverse (101212101), we get a palindrome (10222422201).

10121210100 divided by its reverse (101212101) gives a square (100 = 10²).

The spelling of 10121210100 in words is "ten billion, one hundred twenty-one million, two hundred ten thousand, one hundred".