101001000001200 has 240 divisors, whose sum is σ = 348594456339360. Its totient is φ = 24849875312640.

The previous prime is 101001000001199. The next prime is 101001000001249. The reversal of 101001000001200 is 2100000100101.

It is a tau number, because it is divible by the number of its divisors (240).

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31038754 + ... + 34138046.

It is an arithmetic number, because the mean of its divisors is an integer number (1452476901414).

Almost surely, 2^{101001000001200} is an apocalyptic number.

101001000001200 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 101001000001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174297228169680).

101001000001200 is an abundant number, since it is smaller than the sum of its proper divisors (247593456338160).

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

101001000001200 is a wasteful number, since it uses less digits than its factorization.

101001000001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3101416 (or 3101405 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101001000001200 its reverse (2100000100101), we get a palindrome (103101000101301).

The spelling of 101001000001200 in words is "one hundred one trillion, one billion, one thousand, two hundred".