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101001101001000 = 233531011312579901

101001101001000 has 512 divisors, whose sum is σ = 321953076656640. Its totient is φ = 26357760000000.

The previous prime is 101001101000977. The next prime is 101001101001023. The reversal of 101001101001000 is 100101100101.

Adding to 101001101001000 its reverse (100101100101), we get a palindrome (101101202101101).

101001101001000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101001101000977) and next prime (101001101001023).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 101001101001000.

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, 10201096050 + ... + 10201105950.

It is an arithmetic number, because the mean of its divisors is an integer number (628814602845).

Almost surely, 2101001101001000 is an apocalyptic number.

101001101001000 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 101001101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160976538328320).

101001101001000 is an abundant number, since it is smaller than the sum of its proper divisors (220951975655640).

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

101001101001000 is a wasteful number, since it uses less digits than its factorization.

101001101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10414 (or 10400 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

The spelling of 101001101001000 in words is "one hundred one trillion, one billion, one hundred one million, one thousand".