101011001001008 has 160 divisors (see below), whose sum is σ = 236327934044160. Its totient is φ = 40904002298880.

The previous prime is 101011001001007. The next prime is 101011001001023. The reversal of 101011001001008 is 800100100110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101011001000983 and 101011001001001.

It is not an unprimeable number, because it can be changed into a prime (101011001001007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1711702223 + ... + 1711761233.

It is an arithmetic number, because the mean of its divisors is an integer number (1477049587776).

Almost surely, 2^{101011001001008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011001001008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118163967022080).

101011001001008 is an abundant number, since it is smaller than the sum of its proper divisors (135316933043152).

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

101011001001008 is a wasteful number, since it uses less digits than its factorization.

101011001001008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70315 (or 70309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101011001001008 its reverse (800100100110101), we get a palindrome (901111101111109).

The spelling of 101011001001008 in words is "one hundred one trillion, eleven billion, one million, one thousand, eight".