201010102202112 has 288 divisors, whose sum is σ = 634962192893952. Its totient is φ = 55258586836992.

The previous prime is 201010102202081. The next prime is 201010102202113. The reversal of 201010102202112 is 211202201010102.

It is a super-2 number, since 2×201010102202112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201010102202091 and 201010102202100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010102202113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8999143 + ... + 21977369.

Almost surely, 2^{201010102202112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201010102202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317481096446976).

201010102202112 is an abundant number, since it is smaller than the sum of its proper divisors (433952090691840).

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

201010102202112 is a wasteful number, since it uses less digits than its factorization.

201010102202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12978363 (or 12978349 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 201010102202112 its reverse (211202201010102), we get a palindrome (412212303212214).

The spelling of 201010102202112 in words is "two hundred one trillion, ten billion, one hundred two million, two hundred two thousand, one hundred twelve".