102212110000 has 400 divisors, whose sum is σ = 332294231808. Its totient is φ = 29404800000.

The previous prime is 102212109997. The next prime is 102212110031. The reversal of 102212110000 is 11212201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10004895 + ... + 10015105.

Almost surely, 2^102212110000 is an apocalyptic number.

102212110000 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 102212110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166147115904).

102212110000 is an abundant number, since it is smaller than the sum of its proper divisors (230082121808).

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

102212110000 is a wasteful number, since it uses less digits than its factorization.

102212110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10270 (or 10249 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102212110000 its reverse (11212201), we get a palindrome (102223322201).

It can be divided in two parts, 102212 and 110000, that added together give a palindrome (212212).

The spelling of 102212110000 in words is "one hundred two billion, two hundred twelve million, one hundred ten thousand".