201021212222010 has 384 divisors, whose sum is σ = 588107250319680. Its totient is φ = 47383799758848.

The previous prime is 201021212221997. The next prime is 201021212222023. The reversal of 201021212222010 is 10222212120102.

It is a happy number.

201021212222010 is a `hidden beast` number, since 20 + 10 + 212 + 1 + 222 + 201 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (201021212221997) and next prime (201021212222023).

It can be written as a sum of positive squares in 32 ways, for example, as 80870829538041 + 120150382683969 = 8992821^2 + 10961313^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7376099544 + ... + 7376126796.

Almost surely, 2^{201021212222010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201021212222010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294053625159840).

201021212222010 is an abundant number, since it is smaller than the sum of its proper divisors (387086038097670).

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

201021212222010 is a wasteful number, since it uses less digits than its factorization.

201021212222010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31842 (or 31839 counting only the distinct ones).

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

Adding to 201021212222010 its reverse (10222212120102), we get a palindrome (211243424342112).

The spelling of 201021212222010 in words is "two hundred one trillion, twenty-one billion, two hundred twelve million, two hundred twenty-two thousand, ten".