10212122002100 has 36 divisors (see below), whose sum is σ = 22523588442348. Its totient is φ = 4017884064000.

The previous prime is 10212122002081. The next prime is 10212122002141. The reversal of 10212122002100 is 120022121201.

It can be written as a sum of positive squares in 6 ways, for example, as 558660574096 + 9653461428004 = 747436^2 + 3107002^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 837053081 + ... + 837065280.

Almost surely, 2^{10212122002100} is an apocalyptic number.

10212122002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212122002100 is an abundant number, since it is smaller than the sum of its proper divisors (12311466440248).

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

10212122002100 is a wasteful number, since it uses less digits than its factorization.

10212122002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674118436 (or 1674118429 counting only the distinct ones).

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

Adding to 10212122002100 its reverse (120022121201), we get a palindrome (10332144123301).

The spelling of 10212122002100 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, two thousand, one hundred".