101004450000 has 240 divisors, whose sum is σ = 334972310400. Its totient is φ = 26205120000.

The previous prime is 101004449969. The next prime is 101004450031. The reversal of 101004450000 is 54400101.

It is an interprime number because it is at equal distance from previous prime (101004449969) and next prime (101004450031).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 5540901 + ... + 5559099.

It is an arithmetic number, because the mean of its divisors is an integer number (1395717960).

Almost surely, 2^101004450000 is an apocalyptic number.

101004450000 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 101004450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167486155200).

101004450000 is an abundant number, since it is smaller than the sum of its proper divisors (233967860400).

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

101004450000 is an equidigital number, since it uses as much as digits as its factorization.

101004450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18272 (or 18246 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 101004450000 its reverse (54400101), we get a palindrome (101058850101).

The spelling of 101004450000 in words is "one hundred one billion, four million, four hundred fifty thousand".