211121201201001 has 48 divisors (see below), whose sum is σ = 350109453542400. Its totient is φ = 110801032056000.

The previous prime is 211121201200979. The next prime is 211121201201003. The reversal of 211121201201001 is 100102102121112.

It is a happy number.

211121201201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211121201201001 - 2⁶ = 211121201200937 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211121201201003) 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, 148759875 + ... + 150172376.

It is an arithmetic number, because the mean of its divisors is an integer number (7293946948800).

Almost surely, 2^{211121201201001} is an apocalyptic number.

211121201201001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211121201201001 is a deficient number, since it is larger than the sum of its proper divisors (138988252341399).

211121201201001 is a wasteful number, since it uses less digits than its factorization.

211121201201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298932486 (or 298932473 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 211121201201001 its reverse (100102102121112), we get a palindrome (311223303322113).

The spelling of 211121201201001 in words is "two hundred eleven trillion, one hundred twenty-one billion, two hundred one million, two hundred one thousand, one".