10021120111000 has 128 divisors (see below), whose sum is σ = 23705077032000. Its totient is φ = 3964824960000.

The previous prime is 10021120110973. The next prime is 10021120111097. The reversal of 10021120111000 is 11102112001.

10021120111000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102870316 + ... + 102967684.

Almost surely, 2^{10021120111000} is an apocalyptic number.

10021120111000 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 10021120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11852538516000).

10021120111000 is an abundant number, since it is smaller than the sum of its proper divisors (13683956921000).

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

10021120111000 is a wasteful number, since it uses less digits than its factorization.

10021120111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98510 (or 98496 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10021120111000 its reverse (11102112001), we get a palindrome (10032222223001).

It can be divided in two parts, 10021 and 120111000, that added together give a palindrome (120121021).

The spelling of 10021120111000 in words is "ten trillion, twenty-one billion, one hundred twenty million, one hundred eleven thousand".