101200189440 has 1536 divisors, whose sum is σ = 434759270400. Its totient is φ = 19534970880.

The previous prime is 101200189399. The next prime is 101200189481. The reversal of 101200189440 is 44981002101.

It is an interprime number because it is at equal distance from previous prime (101200189399) and next prime (101200189481).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 101200189398 and 101200189407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2153195497 + ... + 2153195543.

It is an arithmetic number, because the mean of its divisors is an integer number (283046400).

Almost surely, 2^101200189440 is an apocalyptic number.

101200189440 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 101200189440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217379635200).

101200189440 is an abundant number, since it is smaller than the sum of its proper divisors (333559080960).

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

101200189440 is a wasteful number, since it uses less digits than its factorization.

101200189440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The spelling of 101200189440 in words is "one hundred one billion, two hundred million, one hundred eighty-nine thousand, four hundred forty".