100102212120000 has 560 divisors, whose sum is σ = 348530231624960. Its totient is φ = 25278096384000.

The previous prime is 100102212119977. The next prime is 100102212120011. The reversal of 100102212120000 is 21212201001.

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 79 ways as a sum of consecutive naturals, for example, 6185631909 + ... + 6185648091.

It is an arithmetic number, because the mean of its divisors is an integer number (622375413616).

Almost surely, 2^{100102212120000} is an apocalyptic number.

100102212120000 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 100102212120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174265115812480).

100102212120000 is an abundant number, since it is smaller than the sum of its proper divisors (248428019504960).

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

100102212120000 is a wasteful number, since it uses less digits than its factorization.

100102212120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18950 (or 18925 counting only the distinct ones).

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

Adding to 100102212120000 its reverse (21212201001), we get a palindrome (100123424321001).

The spelling of 100102212120000 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred twenty thousand".