10102212120000 has 2240 divisors, whose sum is σ = 46077411308544. Its totient is φ = 1884487680000.

The previous prime is 10102212119977. The next prime is 10102212120019. The reversal of 10102212120000 is 2121220101.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4444438864 + ... + 4444441136.

Almost surely, 2^{10102212120000} is an apocalyptic number.

10102212120000 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 10102212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23038705654272).

10102212120000 is an abundant number, since it is smaller than the sum of its proper divisors (35975199188544).

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

10102212120000 is a wasteful number, since it uses less digits than its factorization.

10102212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10102212120000 its reverse (2121220101), we get a palindrome (10104333340101).

The spelling of 10102212120000 in words is "ten trillion, one hundred two billion, two hundred twelve million, one hundred twenty thousand".