10100100100100 has 288 divisors, whose sum is σ = 23648336409600. Its totient is φ = 3730834391040.

The previous prime is 10100100100099. The next prime is 10100100100141. The reversal of 10100100100100 is 100100100101.

It is a Harshad number since it is a multiple of its sum of digits (5).

10100100100100 is a modest number, since divided by 100100100 gives 10100 as remainder.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12833671907 + ... + 12833672693.

It is an arithmetic number, because the mean of its divisors is an integer number (82112279200).

Almost surely, 2^{10100100100100} is an apocalyptic number.

10100100100100 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 10100100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11824168204800).

10100100100100 is an abundant number, since it is smaller than the sum of its proper divisors (13548236309500).

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

10100100100100 is a wasteful number, since it uses less digits than its factorization.

10100100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1480 counting only the distinct ones).

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

Adding to 10100100100100 its reverse (100100100101), we get a palindrome (10200200200201).

Subtracting from 10100100100100 its reverse (100100100101), we obtain a palindrome (9999999999999).

The spelling of 10100100100100 in words is "ten trillion, one hundred billion, one hundred million, one hundred thousand, one hundred".