10100201021100 has 144 divisors (see below), whose sum is σ = 32499199501440. Its totient is φ = 2690987745600.

The previous prime is 10100201021089. The next prime is 10100201021143. The reversal of 10100201021100 is 112010200101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1366555 + ... + 4697645.

Almost surely, 2^{10100201021100} is an apocalyptic number.

10100201021100 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 10100201021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16249599750720).

10100201021100 is an abundant number, since it is smaller than the sum of its proper divisors (22398998480340).

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

10100201021100 is a wasteful number, since it uses less digits than its factorization.

10100201021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332237 (or 3332224 counting only the distinct ones).

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

Adding to 10100201021100 its reverse (112010200101), we get a palindrome (10212211221201).

It can be divided in two parts, 1010020 and 1021100, that added together give a triangular number (2031120 = T₂₀₁₅).

The spelling of 10100201021100 in words is "ten trillion, one hundred billion, two hundred one million, twenty-one thousand, one hundred".