10212210122100 has 144 divisors (see below), whose sum is σ = 33804266971776. Its totient is φ = 2331738432000.

The previous prime is 10212210122099. The next prime is 10212210122141. The reversal of 10212210122100 is 122101221201.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10212210122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607831 + ... + 4560030.

Almost surely, 2^{10212210122100} is an apocalyptic number.

10212210122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212210122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16902133485888).

10212210122100 is an abundant number, since it is smaller than the sum of its proper divisors (23592056849676).

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

10212210122100 is a wasteful number, since it uses less digits than its factorization.

10212210122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5168826 (or 5168819 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212210122100 its reverse (122101221201), we get a palindrome (10334311343301).

The spelling of 10212210122100 in words is "ten trillion, two hundred twelve billion, two hundred ten million, one hundred twenty-two thousand, one hundred".