10100220002100 has 180 divisors, whose sum is σ = 32881448163564. Its totient is φ = 2681831877120.

The previous prime is 10100220002087. The next prime is 10100220002123. The reversal of 10100220002100 is 120002200101.

10100220002100 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 378320946084 + 9721899056016 = 615078^2 + 3117996^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 788539 + ... + 4563138.

Almost surely, 2^{10100220002100} is an apocalyptic number.

10100220002100 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 10100220002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16440724081782).

10100220002100 is an abundant number, since it is smaller than the sum of its proper divisors (22781228161464).

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

10100220002100 is a wasteful number, since it uses less digits than its factorization.

10100220002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5351936 (or 5351920 counting only the distinct ones).

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

Adding to 10100220002100 its reverse (120002200101), we get a palindrome (10220222202201).

The spelling of 10100220002100 in words is "ten trillion, one hundred billion, two hundred twenty million, two thousand, one hundred".