102212210110000 has 100 divisors (see below), whose sum is σ = 247803606737632. Its totient is φ = 40829103648000.

The previous prime is 102212210109959. The next prime is 102212210110051. The reversal of 102212210110000 is 11012212201.

It is a tau number, because it is divible by the number of its divisors (100).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 357817 + ... + 14302183.

Almost surely, 2^{102212210110000} is an apocalyptic number.

102212210110000 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 102212210110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123901803368816).

102212210110000 is an abundant number, since it is smaller than the sum of its proper divisors (145591396627632).

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

102212210110000 is an equidigital number, since it uses as much as digits as its factorization.

102212210110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13945128 (or 13945107 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102212210110000 its reverse (11012212201), we get a palindrome (102223222322201).

The spelling of 102212210110000 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, one hundred ten thousand".