11201401050000 has 960 divisors, whose sum is σ = 42125466797568. Its totient is φ = 2511820800000.

The previous prime is 11201401049983. The next prime is 11201401050029. The reversal of 11201401050000 is 5010410211.

It is a happy number.

It is a super-2 number, since 2×11201401050000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24298049770 + ... + 24298050230.

Almost surely, 2^{11201401050000} is an apocalyptic number.

11201401050000 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 11201401050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21062733398784).

11201401050000 is an abundant number, since it is smaller than the sum of its proper divisors (30924065747568).

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

11201401050000 is an equidigital number, since it uses as much as digits as its factorization.

11201401050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 11201401050000 its reverse (5010410211), we get a palindrome (11206411460211).

The spelling of 11201401050000 in words is "eleven trillion, two hundred one billion, four hundred one million, fifty thousand".