10101200010000 has 200 divisors, whose sum is σ = 35572387117344. Its totient is φ = 2448775680000.

The previous prime is 10101200009993. The next prime is 10101200010001. The reversal of 10101200010000 is 1000210101.

10101200010000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (10101200010001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14974849 + ... + 15634848.

Almost surely, 2^{10101200010000} is an apocalyptic number.

10101200010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101200010000 is an abundant number, since it is smaller than the sum of its proper divisors (25471187107344).

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

10101200010000 is a wasteful number, since it uses less digits than its factorization.

10101200010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30609739 (or 30609718 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10101200010000 its reverse (1000210101), we get a palindrome (10102200220101).

The spelling of 10101200010000 in words is "ten trillion, one hundred one billion, two hundred million, ten thousand".