100101201011000 has 384 divisors, whose sum is σ = 270389131084800. Its totient is φ = 33978696480000.

The previous prime is 100101201010973. The next prime is 100101201011051. The reversal of 100101201011000 is 110102101001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57298912127 + ... + 57298913873.

It is an arithmetic number, because the mean of its divisors is an integer number (704138362200).

Almost surely, 2^{100101201011000} is an apocalyptic number.

100101201011000 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 100101201011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135194565542400).

100101201011000 is an abundant number, since it is smaller than the sum of its proper divisors (170287930073800).

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

100101201011000 is a wasteful number, since it uses less digits than its factorization.

100101201011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100101201011000 its reverse (110102101001), we get a palindrome (100211303112001).

The spelling of 100101201011000 in words is "one hundred trillion, one hundred one billion, two hundred one million, eleven thousand".