101042121460 has 48 divisors (see below), whose sum is σ = 244725909120. Its totient is φ = 34325182080.

The previous prime is 101042121403. The next prime is 101042121461. The reversal of 101042121460 is 64121240101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101042121461) 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 15 ways as a sum of consecutive naturals, for example, 3295426 + ... + 3325945.

It is an arithmetic number, because the mean of its divisors is an integer number (5098456440).

Almost surely, 2^101042121460 is an apocalyptic number.

101042121460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101042121460 is an abundant number, since it is smaller than the sum of its proper divisors (143683787660).

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

101042121460 is a wasteful number, since it uses less digits than its factorization.

101042121460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6621496 (or 6621494 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 101042121460 its reverse (64121240101), we get a palindrome (165163361561).

The spelling of 101042121460 in words is "one hundred one billion, forty-two million, one hundred twenty-one thousand, four hundred sixty".