201221040122102 has 288 divisors, whose sum is σ = 449318066453760. Its totient is φ = 65577534422400.

The previous prime is 201221040122023. The next prime is 201221040122131.

It is a happy number.

201221040122102 is nontrivially palindromic in base 10.

201221040122102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 220888577 + ... + 221797667.

Almost surely, 2^{201221040122102} is an apocalyptic number.

201221040122102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201221040122102 is an abundant number, since it is smaller than the sum of its proper divisors (248097026331658).

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

201221040122102 is a wasteful number, since it uses less digits than its factorization.

201221040122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909200 (or 909166 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 201221040122102 in words is "two hundred one trillion, two hundred twenty-one billion, forty million, one hundred twenty-two thousand, one hundred two".