10111200010020 has 384 divisors, whose sum is σ = 34565155430400. Its totient is φ = 2442444212736.

The previous prime is 10111200010007. The next prime is 10111200010027. The reversal of 10111200010020 is 2001000211101.

It is a happy number.

It is a super-3 number, since 3×10111200010020³ (a number of 40 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10111200009984 and 10111200010011.

It is not an unprimeable number, because it can be changed into a prime (10111200010027) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 817192554 + ... + 817204926.

It is an arithmetic number, because the mean of its divisors is an integer number (90013425600).

Almost surely, 2^{10111200010020} is an apocalyptic number.

10111200010020 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 10111200010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17282577715200).

10111200010020 is an abundant number, since it is smaller than the sum of its proper divisors (24453955420380).

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

10111200010020 is a wasteful number, since it uses less digits than its factorization.

10111200010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15896 (or 15888 counting only the distinct ones).

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

Adding to 10111200010020 its reverse (2001000211101), we get a palindrome (12112200221121).

The spelling of 10111200010020 in words is "ten trillion, one hundred eleven billion, two hundred million, ten thousand, twenty".