101201121006 has 64 divisors (see below), whose sum is σ = 219428352000. Its totient is φ = 31008528768.

The previous prime is 101201120941. The next prime is 101201121013. The reversal of 101201121006 is 600121102101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8103475 + ... + 8115953.

It is an arithmetic number, because the mean of its divisors is an integer number (3428568000).

Almost surely, 2^101201121006 is an apocalyptic number.

101201121006 is an abundant number, since it is smaller than the sum of its proper divisors (118227230994).

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

101201121006 is an equidigital number, since it uses as much as digits as its factorization.

101201121006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12630 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101201121006 its reverse (600121102101), we get a palindrome (701322223107).

The spelling of 101201121006 in words is "one hundred one billion, two hundred one million, one hundred twenty-one thousand, six".