10010101002100 has 72 divisors (see below), whose sum is σ = 22704067971648. Its totient is φ = 3823578528000.

The previous prime is 10010101002071. The next prime is 10010101002101. The reversal of 10010101002100 is 120010101001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010101002101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2238514 + ... + 5003113.

It is an arithmetic number, because the mean of its divisors is an integer number (315334277384).

Almost surely, 2^{10010101002100} is an apocalyptic number.

10010101002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010101002100 is an abundant number, since it is smaller than the sum of its proper divisors (12693966969548).

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

10010101002100 is a wasteful number, since it uses less digits than its factorization.

10010101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7242265 (or 7242258 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10010101002100 its reverse (120010101001), we get a palindrome (10130111103101).

The spelling of 10010101002100 in words is "ten trillion, ten billion, one hundred one million, two thousand, one hundred".