10010211102000 has 240 divisors, whose sum is σ = 35907260886432. Its totient is φ = 2597243788800.

The previous prime is 10010211101999. The next prime is 10010211102029. The reversal of 10010211102000 is 20111201001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6849174 + ... + 8181173.

Almost surely, 2^{10010211102000} is an apocalyptic number.

10010211102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010211102000 is an abundant number, since it is smaller than the sum of its proper divisors (25897049784432).

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

10010211102000 is a wasteful number, since it uses less digits than its factorization.

10010211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15030413 (or 15030394 counting only the distinct ones).

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

Adding to 10010211102000 its reverse (20111201001), we get a palindrome (10030322303001).

Subtracting from 10010211102000 its reverse (20111201001), we obtain a palindrome (9990099900999).

The spelling of 10010211102000 in words is "ten trillion, ten billion, two hundred eleven million, one hundred two thousand".