101261890128 has 80 divisors (see below), whose sum is σ = 299320842240. Its totient is φ = 28897404288.

The previous prime is 101261890099. The next prime is 101261890129. The reversal of 101261890128 is 821098162101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101261890129) 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, 102301 + ... + 461507.

It is an arithmetic number, because the mean of its divisors is an integer number (3741510528).

Almost surely, 2^101261890128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101261890128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149660421120).

101261890128 is an abundant number, since it is smaller than the sum of its proper divisors (198058952112).

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

101261890128 is a wasteful number, since it uses less digits than its factorization.

101261890128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360064 (or 360058 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The spelling of 101261890128 in words is "one hundred one billion, two hundred sixty-one million, eight hundred ninety thousand, one hundred twenty-eight".