10100012120000 has 1120 divisors, whose sum is σ = 30288091458240. Its totient is φ = 3297280000000.

The previous prime is 10100012119999. The next prime is 10100012120027. The reversal of 10100012120000 is 2121000101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10100012120000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21908919770 + ... + 21908920230.

It is an arithmetic number, because the mean of its divisors is an integer number (27042938802).

Almost surely, 2^{10100012120000} is an apocalyptic number.

10100012120000 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 10100012120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15144045729120).

10100012120000 is an abundant number, since it is smaller than the sum of its proper divisors (20188079338240).

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

10100012120000 is a wasteful number, since it uses less digits than its factorization.

10100012120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100012120000 its reverse (2121000101), we get a palindrome (10102133120101).

The spelling of 10100012120000 in words is "ten trillion, one hundred billion, twelve million, one hundred twenty thousand".