201201102102 has 256 divisors, whose sum is σ = 564728371200. Its totient is φ = 46092533760.

The previous prime is 201201102097. The next prime is 201201102107.

201201102102 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (201201102097) and next prime (201201102107).

It is a super-3 number, since 3×201201102102³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201201102107) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16888924 + ... + 16900832.

It is an arithmetic number, because the mean of its divisors is an integer number (2205970200).

Almost surely, 2^201201102102 is an apocalyptic number.

201201102102 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 201201102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282364185600).

201201102102 is an abundant number, since it is smaller than the sum of its proper divisors (363527269098).

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

201201102102 is a wasteful number, since it uses less digits than its factorization.

201201102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12071.

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 201201 and 102102, that added together give a palindrome (303303).

The spelling of 201201102102 in words is "two hundred one billion, two hundred one million, one hundred two thousand, one hundred two".