10010211102100 has 144 divisors (see below), whose sum is σ = 24948551315520. Its totient is φ = 3447879091200.

The previous prime is 10010211102061. The next prime is 10010211102107. The reversal of 10010211102100 is 120111201001.

10010211102100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010211102107) 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, 126133632 + ... + 126212968.

It is an arithmetic number, because the mean of its divisors is an integer number (173253828580).

Almost surely, 2^{10010211102100} is an apocalyptic number.

10010211102100 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 10010211102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12474275657760).

10010211102100 is an abundant number, since it is smaller than the sum of its proper divisors (14938340213420).

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

10010211102100 is a wasteful number, since it uses less digits than its factorization.

10010211102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85418 (or 85411 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10010211102100 its reverse (120111201001), we get a palindrome (10130322303101).

The spelling of 10010211102100 in words is "ten trillion, ten billion, two hundred eleven million, one hundred two thousand, one hundred".