101000979183000 has 1536 divisors, whose sum is σ = 365245074754560. Its totient is φ = 23085180518400.

The previous prime is 101000979182993. The next prime is 101000979183017. The reversal of 101000979183000 is 381979000101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 101000979183000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 227993180779 + ... + 227993181221.

It is an arithmetic number, because the mean of its divisors is an integer number (237789762210).

Almost surely, 2^{101000979183000} is an apocalyptic number.

101000979183000 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 101000979183000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182622537377280).

101000979183000 is an abundant number, since it is smaller than the sum of its proper divisors (264244095571560).

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

101000979183000 is a wasteful number, since it uses less digits than its factorization.

101000979183000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 39.

The spelling of 101000979183000 in words is "one hundred one trillion, nine hundred seventy-nine million, one hundred eighty-three thousand".