2010121222100 has 36 divisors (see below), whose sum is σ = 4512375577500. Its totient is φ = 776322677760.

The previous prime is 2010121222073. The next prime is 2010121222103. The reversal of 2010121222100 is 12221210102.

It can be written as a sum of positive squares in 6 ways, for example, as 46574819344 + 1963546402756 = 215812^2 + 1401266^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010121222103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346569725 + ... + 346575524.

Almost surely, 2^{2010121222100} is an apocalyptic number.

2010121222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010121222100 is an abundant number, since it is smaller than the sum of its proper divisors (2502254355400).

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

2010121222100 is a wasteful number, since it uses less digits than its factorization.

2010121222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693145292 (or 693145285 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2010121222100 its reverse (12221210102), we get a palindrome (2022342432202).

The spelling of 2010121222100 in words is "two trillion, ten billion, one hundred twenty-one million, two hundred twenty-two thousand, one hundred".