10100211102000 has 960 divisors, whose sum is σ = 37794431001600. Its totient is φ = 2506592563200.

The previous prime is 10100211101989. The next prime is 10100211102043. The reversal of 10100211102000 is 20111200101.

It is a happy number.

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

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 5083145007 + ... + 5083146993.

It is an arithmetic number, because the mean of its divisors is an integer number (39369198960).

Almost surely, 2^{10100211102000} is an apocalyptic number.

10100211102000 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 10100211102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18897215500800).

10100211102000 is an abundant number, since it is smaller than the sum of its proper divisors (27694219899600).

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

10100211102000 is a wasteful number, since it uses less digits than its factorization.

10100211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2291 (or 2272 counting only the distinct ones).

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

Adding to 10100211102000 its reverse (20111200101), we get a palindrome (10120322302101).

The spelling of 10100211102000 in words is "ten trillion, one hundred billion, two hundred eleven million, one hundred two thousand".