10101000010100 has 72 divisors (see below), whose sum is σ = 22296733417728. Its totient is φ = 3970911484800.

The previous prime is 10101000010099. The next prime is 10101000010147. The reversal of 10101000010100 is 101000010101.

10101000010100 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 (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6783317 + ... + 8137283.

It is an arithmetic number, because the mean of its divisors is an integer number (309676853024).

Almost surely, 2^{10101000010100} is an apocalyptic number.

10101000010100 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 10101000010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11148366708864).

10101000010100 is an abundant number, since it is smaller than the sum of its proper divisors (12195733407628).

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

10101000010100 is a wasteful number, since it uses less digits than its factorization.

10101000010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1355265 (or 1355258 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10101000010100 its reverse (101000010101), we get a palindrome (10202000020201).

Subtracting from 10101000010100 its reverse (101000010101), we obtain a palindrome (9999999999999).

The spelling of 10101000010100 in words is "ten trillion, one hundred one billion, ten thousand, one hundred".