201121221101010 has 256 divisors, whose sum is σ = 568814303232000. Its totient is φ = 44555621529600.

The previous prime is 201121221100979. The next prime is 201121221101027. The reversal of 201121221101010 is 10101122121102.

It is a happy number.

It is a super-2 number, since 2×201121221101010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 814201701 + ... + 814448679.

It is an arithmetic number, because the mean of its divisors is an integer number (2221930872000).

Almost surely, 2^{201121221101010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201121221101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284407151616000).

201121221101010 is an abundant number, since it is smaller than the sum of its proper divisors (367693082130990).

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

201121221101010 is a wasteful number, since it uses less digits than its factorization.

201121221101010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247657.

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

Adding to 201121221101010 its reverse (10101122121102), we get a palindrome (211222343222112).

The spelling of 201121221101010 in words is "two hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred one thousand, ten".