201210010022112 has 384 divisors, whose sum is σ = 668028548081664. Its totient is φ = 51601512112128.

The previous prime is 201210010022069. The next prime is 201210010022167. The reversal of 201210010022112 is 211220010012102.

It is a super-2 number, since 2×201210010022112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201210010022091 and 201210010022100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 547047933 + ... + 547415619.

It is an arithmetic number, because the mean of its divisors is an integer number (1739657677296).

Almost surely, 2^{201210010022112} 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 201210010022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334014274040832).

201210010022112 is an abundant number, since it is smaller than the sum of its proper divisors (466818538059552).

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

201210010022112 is a wasteful number, since it uses less digits than its factorization.

201210010022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369450 (or 369442 counting only the distinct ones).

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

Adding to 201210010022112 its reverse (211220010012102), we get a palindrome (412430020034214).

The spelling of 201210010022112 in words is "two hundred one trillion, two hundred ten billion, ten million, twenty-two thousand, one hundred twelve".