201222141222102 has 768 divisors, whose sum is σ = 571019151273984. Its totient is φ = 45954592358400.

The previous prime is 201222141222061. The next prime is 201222141222121.

201222141222102 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 24446860327 + ... + 24446868557.

It is an arithmetic number, because the mean of its divisors is an integer number (743514519888).

Almost surely, 2^{201222141222102} is an apocalyptic number.

201222141222102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 201222141222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285509575636992).

201222141222102 is an abundant number, since it is smaller than the sum of its proper divisors (369797010051882).

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

201222141222102 is a wasteful number, since it uses less digits than its factorization.

201222141222102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8525 (or 8514 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 201222141222102 in words is "two hundred one trillion, two hundred twenty-two billion, one hundred forty-one million, two hundred twenty-two thousand, one hundred two".