201122010012100 has 72 divisors (see below), whose sum is σ = 462134610507528. Its totient is φ = 75712062105600.

The previous prime is 201122010012029. The next prime is 201122010012107. The reversal of 201122010012100 is 1210010221102.

It can be written as a sum of positive squares in 12 ways, for example, as 25957076544 + 201096052935556 = 161112^2 + 14180834^2 .

It is a super-2 number, since 2×201122010012100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201122010012107) 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 23 ways as a sum of consecutive naturals, for example, 25460374 + ... + 32411026.

It is an arithmetic number, because the mean of its divisors is an integer number (6418536257049).

Almost surely, 2^{201122010012100} is an apocalyptic number.

201122010012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122010012100 is an abundant number, since it is smaller than the sum of its proper divisors (261012600495428).

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

201122010012100 is a wasteful number, since it uses less digits than its factorization.

201122010012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6967705 (or 6967698 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 201122010012100 its reverse (1210010221102), we get a palindrome (202332020233202).

The spelling of 201122010012100 in words is "two hundred one trillion, one hundred twenty-two billion, ten million, twelve thousand, one hundred".