101013342100 has 288 divisors, whose sum is σ = 259318402560. Its totient is φ = 33745920000.

The previous prime is 101013342071. The next prime is 101013342109. The reversal of 101013342100 is 1243310101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013342109) 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 95 ways as a sum of consecutive naturals, for example, 149206962 + ... + 149207638.

It is an arithmetic number, because the mean of its divisors is an integer number (900411120).

Almost surely, 2^101013342100 is an apocalyptic number.

101013342100 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 101013342100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129659201280).

101013342100 is an abundant number, since it is smaller than the sum of its proper divisors (158305060460).

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

101013342100 is a wasteful number, since it uses less digits than its factorization.

101013342100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101013342100 its reverse (1243310101), we get a palindrome (102256652201).

The spelling of 101013342100 in words is "one hundred one billion, thirteen million, three hundred forty-two thousand, one hundred".