10112011202000 has 40 divisors (see below), whose sum is σ = 24450843091272. Its totient is φ = 4044804480000.

The previous prime is 10112011201921. The next prime is 10112011202003. The reversal of 10112011202000 is 20211021101.

10112011202000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 31817997376 + 10080193204624 = 178376^2 + 3174932^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112011202003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2528000801 + ... + 2528004800.

Almost surely, 2^{10112011202000} is an apocalyptic number.

10112011202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10112011202000 is an abundant number, since it is smaller than the sum of its proper divisors (14338831889272).

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

10112011202000 is an equidigital number, since it uses as much as digits as its factorization.

10112011202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5056005624 (or 5056005608 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10112011202000 its reverse (20211021101), we get a palindrome (10132222223101).

The spelling of 10112011202000 in words is "ten trillion, one hundred twelve billion, eleven million, two hundred two thousand".