101101122112002 has 96 divisors (see below), whose sum is σ = 214821207965952. Its totient is φ = 31700390688000.

The previous prime is 101101122111991. The next prime is 101101122112009. The reversal of 101101122112002 is 200211221101101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101101122112009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 63276988 + ... + 64855064.

It is an arithmetic number, because the mean of its divisors is an integer number (2237720916312).

Almost surely, 2^{101101122112002} is an apocalyptic number.

101101122112002 is an abundant number, since it is smaller than the sum of its proper divisors (113720085853950).

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

101101122112002 is a wasteful number, since it uses less digits than its factorization.

101101122112002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578456 (or 1578425 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101101122112002 its reverse (200211221101101), we get a palindrome (301312343213103).

The spelling of 101101122112002 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-two million, one hundred twelve thousand, two".