201102212202012 has 384 divisors, whose sum is σ = 610820123074560. Its totient is φ = 56537647488000.

The previous prime is 201102212201971. The next prime is 201102212202013. The reversal of 201102212202012 is 210202212201102.

It is a happy number.

201102212202012 is a `hidden beast` number, since 20 + 1 + 1 + 0 + 221 + 220 + 201 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201102212202013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13035722643 + ... + 13035738069.

It is an arithmetic number, because the mean of its divisors is an integer number (1590677403840).

Almost surely, 2^{201102212202012} is an apocalyptic number.

201102212202012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201102212202012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305410061537280).

201102212202012 is an abundant number, since it is smaller than the sum of its proper divisors (409717910872548).

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

201102212202012 is a wasteful number, since it uses less digits than its factorization.

201102212202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24630 (or 24622 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 201102212202012 its reverse (210202212201102), we get a palindrome (411304424403114).

It can be divided in two parts, 20110 and 2212202012, that added together give a palindrome (2212222122).

The spelling of 201102212202012 in words is "two hundred one trillion, one hundred two billion, two hundred twelve million, two hundred two thousand, twelve".