10100020200100 has 144 divisors (see below), whose sum is σ = 24325139716416. Its totient is φ = 3623348736000.

The previous prime is 10100020200047. The next prime is 10100020200103. The reversal of 10100020200100 is 100202000101.

It is not an unprimeable number, because it can be changed into a prime (10100020200103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312135 + ... + 4682065.

It is an arithmetic number, because the mean of its divisors is an integer number (168924581364).

Almost surely, 2^{10100020200100} is an apocalyptic number.

10100020200100 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 10100020200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162569858208).

10100020200100 is an abundant number, since it is smaller than the sum of its proper divisors (14225119516316).

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

10100020200100 is a wasteful number, since it uses less digits than its factorization.

10100020200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370046 (or 3370039 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10100020200100 its reverse (100202000101), we get a palindrome (10200222200201).

The spelling of 10100020200100 in words is "ten trillion, one hundred billion, twenty million, two hundred thousand, one hundred".