101201102001018 has 24 divisors (see below), whose sum is σ = 219269272622400. Its totient is φ = 33733667084424.

The previous prime is 101201102001017. The next prime is 101201102001029. The reversal of 101201102001018 is 810100201102101.

101201102001018 is digitally balanced in base 3, 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 (18).

It is not an unprimeable number, because it can be changed into a prime (101201102001011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21474913 + ... + 25759931.

It is an arithmetic number, because the mean of its divisors is an integer number (9136219692600).

Almost surely, 2^{101201102001018} is an apocalyptic number.

101201102001018 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

101201102001018 is an abundant number, since it is smaller than the sum of its proper divisors (118068170621382).

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

101201102001018 is a wasteful number, since it uses less digits than its factorization.

101201102001018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5597106 (or 5597103 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101201102001018 its reverse (810100201102101), we get a palindrome (911301303103119).

The spelling of 101201102001018 in words is "one hundred one trillion, two hundred one billion, one hundred two million, one thousand, eighteen".