10301133101100 has 72 divisors (see below), whose sum is σ = 29831781925008. Its totient is φ = 2744464665600.

The previous prime is 10301133101059. The next prime is 10301133101117. The reversal of 10301133101100 is 110133110301.

It is a super-2 number, since 2×10301133101100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10301133101100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15321361 + ... + 15979560.

It is an arithmetic number, because the mean of its divisors is an integer number (414330304514).

Almost surely, 2^{10301133101100} is an apocalyptic number.

10301133101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301133101100 is an abundant number, since it is smaller than the sum of its proper divisors (19530648823908).

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

10301133101100 is a wasteful number, since it uses less digits than its factorization.

10301133101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31302035 (or 31302028 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 15.

Adding to 10301133101100 its reverse (110133110301), we get a palindrome (10411266211401).

The spelling of 10301133101100 in words is "ten trillion, three hundred one billion, one hundred thirty-three million, one hundred one thousand, one hundred".