102021222110100 has 288 divisors, whose sum is σ = 310283833896960. Its totient is φ = 25848585423360.

The previous prime is 102021222110083. The next prime is 102021222110149. The reversal of 102021222110100 is 1011222120201.

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 102021222110100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2187442581 + ... + 2187489219.

Almost surely, 2^{102021222110100} is an apocalyptic number.

102021222110100 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 102021222110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155141916948480).

102021222110100 is an abundant number, since it is smaller than the sum of its proper divisors (208262611786860).

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

102021222110100 is a wasteful number, since it uses less digits than its factorization.

102021222110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51319 (or 51312 counting only the distinct ones).

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

Adding to 102021222110100 its reverse (1011222120201), we get a palindrome (103032444230301).

The spelling of 102021222110100 in words is "one hundred two trillion, twenty-one billion, two hundred twenty-two million, one hundred ten thousand, one hundred".