10201701120000 has 480 divisors, whose sum is σ = 36601013489040. Its totient is φ = 2511175680000.

The previous prime is 10201701119999. The next prime is 10201701120019. The reversal of 10201701120000 is 2110710201.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49817820 + ... + 50022180.

Almost surely, 2^{10201701120000} is an apocalyptic number.

10201701120000 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 10201701120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18300506744520).

10201701120000 is an abundant number, since it is smaller than the sum of its proper divisors (26399312369040).

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

10201701120000 is an equidigital number, since it uses as much as digits as its factorization.

10201701120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204419 (or 204384 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 15.

Adding to 10201701120000 its reverse (2110710201), we get a palindrome (10203811830201).

The spelling of 10201701120000 in words is "ten trillion, two hundred one billion, seven hundred one million, one hundred twenty thousand".