10010020111120 has 160 divisors (see below), whose sum is σ = 24389413308000. Its totient is φ = 3815738572800.

The previous prime is 10010020111067. The next prime is 10010020111121. The reversal of 10010020111120 is 2111102001001.

It can be written as a sum of positive squares in 16 ways, for example, as 4549535425296 + 5460484685824 = 2132964^2 + 2336768^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10010020111097 and 10010020111106.

It is not an unprimeable number, because it can be changed into a prime (10010020111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117444520 + ... + 117529720.

It is an arithmetic number, because the mean of its divisors is an integer number (152433833175).

Almost surely, 2^{10010020111120} is an apocalyptic number.

10010020111120 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 10010020111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194706654000).

10010020111120 is an abundant number, since it is smaller than the sum of its proper divisors (14379393196880).

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

10010020111120 is a wasteful number, since it uses less digits than its factorization.

10010020111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85901 (or 85895 counting only the distinct ones).

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

Adding to 10010020111120 its reverse (2111102001001), we get a palindrome (12121122112121).

The spelling of 10010020111120 in words is "ten trillion, ten billion, twenty million, one hundred eleven thousand, one hundred twenty".