10012000101120 has 360 divisors, whose sum is σ = 35985499541376. Its totient is φ = 2657888059392.

The previous prime is 10012000101119. The next prime is 10012000101163. The reversal of 10012000101120 is 2110100021001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22904124 + ... + 23337156.

Almost surely, 2^{10012000101120} is an apocalyptic number.

10012000101120 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 10012000101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17992749770688).

10012000101120 is an abundant number, since it is smaller than the sum of its proper divisors (25973499440256).

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

10012000101120 is an equidigital number, since it uses as much as digits as its factorization.

10012000101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 433289 (or 433266 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012000101120 its reverse (2110100021001), we get a palindrome (12122100122121).

The spelling of 10012000101120 in words is "ten trillion, twelve billion, one hundred one thousand, one hundred twenty".