101523551152100 has 144 divisors (see below), whose sum is σ = 274724758740096. Its totient is φ = 31637090688000.

The previous prime is 101523551152013. The next prime is 101523551152117. The reversal of 101523551152100 is 1251155325101.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35530670 + ... + 38281530.

It is an arithmetic number, because the mean of its divisors is an integer number (1907810824584).

Almost surely, 2^{101523551152100} is an apocalyptic number.

101523551152100 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 101523551152100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137362379370048).

101523551152100 is an abundant number, since it is smaller than the sum of its proper divisors (173201207587996).

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

101523551152100 is a wasteful number, since it uses less digits than its factorization.

101523551152100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755686 (or 2755679 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 32.

The spelling of 101523551152100 in words is "one hundred one trillion, five hundred twenty-three billion, five hundred fifty-one million, one hundred fifty-two thousand, one hundred".