101121110946 has 48 divisors (see below), whose sum is σ = 231364167840. Its totient is φ = 31830926400.

The previous prime is 101121110941. The next prime is 101121110947. The reversal of 101121110946 is 649011121101.

It is not an unprimeable number, because it can be changed into a prime (101121110941) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 365280 + ... + 579371.

It is an arithmetic number, because the mean of its divisors is an integer number (4820086830).

Almost surely, 2^101121110946 is an apocalyptic number.

101121110946 is an abundant number, since it is smaller than the sum of its proper divisors (130243056894).

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

101121110946 is a wasteful number, since it uses less digits than its factorization.

101121110946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944991 (or 944988 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 101121110946 in words is "one hundred one billion, one hundred twenty-one million, one hundred ten thousand, nine hundred forty-six".