102122212112100 has 288 divisors, whose sum is σ = 328880375725440. Its totient is φ = 27184803310080.

The previous prime is 102122212112023. The next prime is 102122212112153. The reversal of 102122212112100 is 1211212221201.

102122212112100 is a `hidden beast` number, since 1 + 0 + 21 + 2 + 221 + 211 + 210 + 0 = 666.

102122212112100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10333113759 + ... + 10333123641.

Almost surely, 2^{102122212112100} is an apocalyptic number.

102122212112100 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 102122212112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164440187862720).

102122212112100 is an abundant number, since it is smaller than the sum of its proper divisors (226758163613340).

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

102122212112100 is a wasteful number, since it uses less digits than its factorization.

102122212112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16236 (or 16223 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122212112100 its reverse (1211212221201), we get a palindrome (103333424333301).

The spelling of 102122212112100 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twelve million, one hundred twelve thousand, one hundred".