121210211122011 has 64 divisors (see below), whose sum is σ = 201106905338880. Its totient is φ = 72426074767200.

The previous prime is 121210211122001. The next prime is 121210211122087. The reversal of 121210211122011 is 110221112012121.

It is a happy number.

121210211122011 is a `hidden beast` number, since 1 + 21 + 210 + 211 + 1 + 220 + 1 + 1 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-121210211122011 is a prime.

It is not an unprimeable number, because it can be changed into a prime (121210211122001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33774060 + ... + 37190153.

It is an arithmetic number, because the mean of its divisors is an integer number (3142295395920).

Almost surely, 2^{121210211122011} is an apocalyptic number.

121210211122011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

121210211122011 is a deficient number, since it is larger than the sum of its proper divisors (79896694216869).

121210211122011 is an frugal number, since it uses more digits than its factorization.

121210211122011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70964316 (or 70964298 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 121210211122011 its reverse (110221112012121), we get a palindrome (231431323134132).

The spelling of 121210211122011 in words is "one hundred twenty-one trillion, two hundred ten billion, two hundred eleven million, one hundred twenty-two thousand, eleven".