101141001000 has 512 divisors, whose sum is σ = 381263500800. Its totient is φ = 24654412800.

The previous prime is 101141000971. The next prime is 101141001023. The reversal of 101141001000 is 100141101.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 37555654 + ... + 37558346.

It is an arithmetic number, because the mean of its divisors is an integer number (744655275).

Almost surely, 2^101141001000 is an apocalyptic number.

101141001000 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 101141001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190631750400).

101141001000 is an abundant number, since it is smaller than the sum of its proper divisors (280122499800).

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

101141001000 is a wasteful number, since it uses less digits than its factorization.

101141001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2843 (or 2823 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101141001000 its reverse (100141101), we get a palindrome (101241142101).

The spelling of 101141001000 in words is "one hundred one billion, one hundred forty-one million, one thousand".