10200101021100 has 180 divisors, whose sum is σ = 33067703453400. Its totient is φ = 2719779690240.

The previous prime is 10200101021087. The next prime is 10200101021101. The reversal of 10200101021100 is 112010100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10200101021101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 99813831 + ... + 99915969.

It is an arithmetic number, because the mean of its divisors is an integer number (183709463630).

Almost surely, 2^{10200101021100} is an apocalyptic number.

10200101021100 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 10200101021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16533851726700).

10200101021100 is an abundant number, since it is smaller than the sum of its proper divisors (22867602432300).

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

10200101021100 is a wasteful number, since it uses less digits than its factorization.

10200101021100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114494 (or 114478 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10200101021100 its reverse (112010100201), we get a palindrome (10312111121301).

The spelling of 10200101021100 in words is "ten trillion, two hundred billion, one hundred one million, twenty-one thousand, one hundred".