101552054010 has 128 divisors (see below), whose sum is σ = 275443089408. Its totient is φ = 23739072000.

The previous prime is 101552053997. The next prime is 101552054011. The reversal of 101552054010 is 10450255101.

It is not an unprimeable number, because it can be changed into a prime (101552054011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2856967 + ... + 2892293.

It is an arithmetic number, because the mean of its divisors is an integer number (2151899136).

Almost surely, 2^101552054010 is an apocalyptic number.

101552054010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101552054010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137721544704).

101552054010 is an abundant number, since it is smaller than the sum of its proper divisors (173891035398).

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

101552054010 is a wasteful number, since it uses less digits than its factorization.

101552054010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35660.

The product of its (nonzero) digits is 1000, while the sum is 24.

It can be divided in two parts, 1015 and 52054010, that added together give a palindrome (52055025).

The spelling of 101552054010 in words is "one hundred one billion, five hundred fifty-two million, fifty-four thousand, ten".