101521010445400 has 96 divisors (see below), whose sum is σ = 290506276095840. Its totient is φ = 32129726376960.

The previous prime is 101521010445347. The next prime is 101521010445409. The reversal of 101521010445400 is 4544010125101.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101521010445409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2789020549 + ... + 2789056948.

It is an arithmetic number, because the mean of its divisors is an integer number (3026107042665).

Almost surely, 2^{101521010445400} is an apocalyptic number.

101521010445400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101521010445400 is an abundant number, since it is smaller than the sum of its proper divisors (188985265650440).

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

101521010445400 is a wasteful number, since it uses less digits than its factorization.

101521010445400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5578077533 (or 5578077524 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The spelling of 101521010445400 in words is "one hundred one trillion, five hundred twenty-one billion, ten million, four hundred forty-five thousand, four hundred".