10211201120000 has 180 divisors, whose sum is σ = 25497547248096. Its totient is φ = 4080061440000.

The previous prime is 10211201119991. The next prime is 10211201120017. The reversal of 10211201120000 is 2110211201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 149885945 + ... + 149954055.

Almost surely, 2^{10211201120000} is an apocalyptic number.

10211201120000 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 10211201120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12748773624048).

10211201120000 is an abundant number, since it is smaller than the sum of its proper divisors (15286346128096).

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

10211201120000 is an frugal number, since it uses more digits than its factorization.

10211201120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69084 (or 69055 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10211201120000 its reverse (2110211201), we get a palindrome (10213311331201).

The spelling of 10211201120000 in words is "ten trillion, two hundred eleven billion, two hundred one million, one hundred twenty thousand".