102212121020100 has 576 divisors, whose sum is σ = 373900780818432. Its totient is φ = 20978092800000.

The previous prime is 102212121020077. The next prime is 102212121020123. The reversal of 102212121020100 is 1020121212201.

It is an interprime number because it is at equal distance from previous prime (102212121020077) and next prime (102212121020123).

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 102212121020100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6213116875 + ... + 6213133325.

It is an arithmetic number, because the mean of its divisors is an integer number (649133300032).

Almost surely, 2^{102212121020100} is an apocalyptic number.

102212121020100 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 102212121020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186950390409216).

102212121020100 is an abundant number, since it is smaller than the sum of its proper divisors (271688659798332).

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

102212121020100 is a wasteful number, since it uses less digits than its factorization.

102212121020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22676 (or 22669 counting only the distinct ones).

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

Adding to 102212121020100 its reverse (1020121212201), we get a palindrome (103232242232301).

The spelling of 102212121020100 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-one million, twenty thousand, one hundred".