2011214121102 has 48 divisors (see below), whose sum is σ = 4654793407680. Its totient is φ = 625385327616.

The previous prime is 2011214121101. The next prime is 2011214121107.

2011214121102 is a `hidden beast` number, since 20 + 1 + 121 + 412 + 110 + 2 = 666.

2011214121102 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011214121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29047702 + ... + 29116857.

It is an arithmetic number, because the mean of its divisors is an integer number (96974862660).

Almost surely, 2^{2011214121102} is an apocalyptic number.

2011214121102 is an abundant number, since it is smaller than the sum of its proper divisors (2643579286578).

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

2011214121102 is a wasteful number, since it uses less digits than its factorization.

2011214121102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58164697 (or 58164694 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 2011214121102 in words is "two trillion, eleven billion, two hundred fourteen million, one hundred twenty-one thousand, one hundred two".