10201101121200 has 240 divisors, whose sum is σ = 36001168849152. Its totient is φ = 2448508800000.

The previous prime is 10201101121199. The next prime is 10201101121207. The reversal of 10201101121200 is 212110110201.

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 (12).

It is not an unprimeable number, because it can be changed into a prime (10201101121207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2492596 + ... + 5158995.

Almost surely, 2^{10201101121200} is an apocalyptic number.

10201101121200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201101121200 is an abundant number, since it is smaller than the sum of its proper divisors (25800067727952).

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

10201101121200 is a wasteful number, since it uses less digits than its factorization.

10201101121200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7651724 (or 7651713 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201101121200 its reverse (212110110201), we get a palindrome (10413211231401).

It can be divided in two parts, 10201101 and 121200, that added together give a palindrome (10322301).

The spelling of 10201101121200 in words is "ten trillion, two hundred one billion, one hundred one million, one hundred twenty-one thousand, two hundred".