10001020120000 has 1120 divisors, whose sum is σ = 32921577722880. Its totient is φ = 2924605440000.

The previous prime is 10001020119991. The next prime is 10001020120027. The reversal of 10001020120000 is 2102010001.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2835558237 + ... + 2835561763.

It is an arithmetic number, because the mean of its divisors is an integer number (29394265824).

Almost surely, 2^{10001020120000} is an apocalyptic number.

10001020120000 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 10001020120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16460788861440).

10001020120000 is an abundant number, since it is smaller than the sum of its proper divisors (22920557602880).

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

10001020120000 is a wasteful number, since it uses less digits than its factorization.

10001020120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3639 (or 3614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10001020120000 its reverse (2102010001), we get a palindrome (10003122130001).

The spelling of 10001020120000 in words is "ten trillion, one billion, twenty million, one hundred twenty thousand".