102010212222100 has 288 divisors, whose sum is σ = 281920850910720. Its totient is φ = 31162394511360.

The previous prime is 102010212222077. The next prime is 102010212222101. The reversal of 102010212222100 is 1222212010201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102010212222101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 956056354 + ... + 956163046.

It is an arithmetic number, because the mean of its divisors is an integer number (978891843440).

Almost surely, 2^{102010212222100} is an apocalyptic number.

102010212222100 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 102010212222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140960425455360).

102010212222100 is an abundant number, since it is smaller than the sum of its proper divisors (179910638688620).

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

102010212222100 is a wasteful number, since it uses less digits than its factorization.

102010212222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110379 (or 110372 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102010212222100 its reverse (1222212010201), we get a palindrome (103232424232301).

The spelling of 102010212222100 in words is "one hundred two trillion, ten billion, two hundred twelve million, two hundred twenty-two thousand, one hundred".