201522225102 has 256 divisors, whose sum is σ = 482833612800. Its totient is φ = 55450137600.

The previous prime is 201522225089. The next prime is 201522225169.

201522225102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×201522225102² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 656424033 + ... + 656424339.

It is an arithmetic number, because the mean of its divisors is an integer number (1886068800).

Almost surely, 2^201522225102 is an apocalyptic number.

201522225102 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 201522225102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241416806400).

201522225102 is an abundant number, since it is smaller than the sum of its proper divisors (281311387698).

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

201522225102 is a wasteful number, since it uses less digits than its factorization.

201522225102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639.

The product of its (nonzero) digits is 1600, while the sum is 24.

It can be divided in two parts, 201522 and 225102, that added together give a palindrome (426624).

The spelling of 201522225102 in words is "two hundred one billion, five hundred twenty-two million, two hundred twenty-five thousand, one hundred two".