100101201101000 has 256 divisors, whose sum is σ = 258246505221120. Its totient is φ = 36014140800000.

The previous prime is 100101201100969. The next prime is 100101201101071. The reversal of 100101201101000 is 101102101001.

It is a happy number.

It is a super-2 number, since 2×100101201101000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1580921342 + ... + 1580984658.

It is an arithmetic number, because the mean of its divisors is an integer number (1008775411020).

Almost surely, 2^{100101201101000} is an apocalyptic number.

100101201101000 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 100101201101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129123252610560).

100101201101000 is an abundant number, since it is smaller than the sum of its proper divisors (158145304120120).

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

100101201101000 is a wasteful number, since it uses less digits than its factorization.

100101201101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64873 (or 64859 counting only the distinct ones).

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

Adding to 100101201101000 its reverse (101102101001), we get a palindrome (100202303202001).

The spelling of 100101201101000 in words is "one hundred trillion, one hundred one billion, two hundred one million, one hundred one thousand".