10202101232100 has 144 divisors (see below), whose sum is σ = 29834400059520. Its totient is φ = 2691495475200.

The previous prime is 10202101232077. The next prime is 10202101232117. The reversal of 10202101232100 is 123210120201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10202101232100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18061761 + ... + 18618039.

Almost surely, 2^{10202101232100} is an apocalyptic number.

10202101232100 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 10202101232100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14917200029760).

10202101232100 is an abundant number, since it is smaller than the sum of its proper divisors (19632298827420).

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

10202101232100 is a wasteful number, since it uses less digits than its factorization.

10202101232100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556950 (or 556943 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 10202101232100 its reverse (123210120201), we get a palindrome (10325311352301).

The spelling of 10202101232100 in words is "ten trillion, two hundred two billion, one hundred one million, two hundred thirty-two thousand, one hundred".