10202012100 has 288 divisors, whose sum is σ = 38101728000. Its totient is φ = 2293401600.

The previous prime is 10202012033. The next prime is 10202012101. The reversal of 10202012100 is 121020201.

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

It is not an unprimeable number, because it can be changed into a prime (10202012101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1148476 + ... + 1157324.

Almost surely, 2^10202012100 is an apocalyptic number.

10202012100 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 10202012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19050864000).

10202012100 is an abundant number, since it is smaller than the sum of its proper divisors (27899715900).

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

10202012100 is a wasteful number, since it uses less digits than its factorization.

10202012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10202012100 its reverse (121020201), we get a palindrome (10323032301).

The spelling of 10202012100 in words is "ten billion, two hundred two million, twelve thousand, one hundred".