101149830000 has 400 divisors, whose sum is σ = 384164652960. Its totient is φ = 25385472000.

The previous prime is 101149829941. The next prime is 101149830011. The reversal of 101149830000 is 38941101.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4578982 + ... + 4601018.

Almost surely, 2^101149830000 is an apocalyptic number.

101149830000 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 101149830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192082326480).

101149830000 is an abundant number, since it is smaller than the sum of its proper divisors (283014822960).

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

101149830000 is a wasteful number, since it uses less digits than its factorization.

101149830000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22091 (or 22064 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 101149830000 in words is "one hundred one billion, one hundred forty-nine million, eight hundred thirty thousand".