11012201201001 has 384 divisors, whose sum is σ = 20632949628928. Its totient is φ = 5081248972800.

The previous prime is 11012201200991. The next prime is 11012201201051. The reversal of 11012201201001 is 10010210221011.

It is not a de Polignac number, because 11012201201001 - 2¹³ = 11012201192809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (11012201201051) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20131994610 + ... + 20131995156.

Almost surely, 2^{11012201201001} is an apocalyptic number.

11012201201001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11012201201001 is a deficient number, since it is larger than the sum of its proper divisors (9620748427927).

11012201201001 is a wasteful number, since it uses less digits than its factorization.

11012201201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853 (or 842 counting only the distinct ones).

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

Adding to 11012201201001 its reverse (10010210221011), we get a palindrome (21022411422012).

The spelling of 11012201201001 in words is "eleven trillion, twelve billion, two hundred one million, two hundred one thousand, one".