10212121122100 has 36 divisors (see below), whose sum is σ = 22162496731648. Its totient is φ = 4084444044000.

The previous prime is 10212121122067. The next prime is 10212121122107. The reversal of 10212121122100 is 122112121201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212121122107) 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, 4038906 + ... + 6061105.

Almost surely, 2^{10212121122100} is an apocalyptic number.

10212121122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212121122100 is an abundant number, since it is smaller than the sum of its proper divisors (11950375609548).

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

10212121122100 is a wasteful number, since it uses less digits than its factorization.

10212121122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10110136 (or 10110129 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10212121122100 its reverse (122112121201), we get a palindrome (10334233243301).

The spelling of 10212121122100 in words is "ten trillion, two hundred twelve billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred".