101042661000 has 128 divisors (see below), whose sum is σ = 315758626560. Its totient is φ = 26901504000.

The previous prime is 101042660989. The next prime is 101042661001. The reversal of 101042661000 is 166240101.

It is not an unprimeable number, because it can be changed into a prime (101042661001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1866312 + ... + 1919688.

It is an arithmetic number, because the mean of its divisors is an integer number (2466864270).

Almost surely, 2^101042661000 is an apocalyptic number.

101042661000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101042661000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157879313280).

101042661000 is an abundant number, since it is smaller than the sum of its proper divisors (214715965560).

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

101042661000 is a wasteful number, since it uses less digits than its factorization.

101042661000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54032 (or 54018 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The spelling of 101042661000 in words is "one hundred one billion, forty-two million, six hundred sixty-one thousand".