201021102111102 has 192 divisors, whose sum is σ = 516826264421376. Its totient is φ = 50663296696320.

The previous prime is 201021102111013. The next prime is 201021102111113. The reversal of 201021102111102 is 201111201120102.

It is a happy number.

It is a super-2 number, since 2×201021102111102² (a number of 29 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 95 ways as a sum of consecutive naturals, for example, 16694712202 + ... + 16694724242.

It is an arithmetic number, because the mean of its divisors is an integer number (2691803460528).

Almost surely, 2^{201021102111102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021102111102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258413132210688).

201021102111102 is an abundant number, since it is smaller than the sum of its proper divisors (315805162310274).

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

201021102111102 is a wasteful number, since it uses less digits than its factorization.

201021102111102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14395 (or 13242 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201021102111102 its reverse (201111201120102), we get a palindrome (402132303231204).

The spelling of 201021102111102 in words is "two hundred one trillion, twenty-one billion, one hundred two million, one hundred eleven thousand, one hundred two".