1201001110100 has 144 divisors (see below), whose sum is σ = 2879613567936. Its totient is φ = 431143680000.

The previous prime is 1201001110093. The next prime is 1201001110109. The reversal of 1201001110100 is 10111001021.

It is a happy number.

It is a super-2 number, since 2×1201001110100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201001110109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38536124 + ... + 38567276.

It is an arithmetic number, because the mean of its divisors is an integer number (19997316444).

Almost surely, 2^{1201001110100} is an apocalyptic number.

1201001110100 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 1201001110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439806783968).

1201001110100 is an abundant number, since it is smaller than the sum of its proper divisors (1678612457836).

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

1201001110100 is a wasteful number, since it uses less digits than its factorization.

1201001110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31626 (or 31619 counting only the distinct ones).

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

Adding to 1201001110100 its reverse (10111001021), we get a palindrome (1211112111121).

The spelling of 1201001110100 in words is "one trillion, two hundred one billion, one million, one hundred ten thousand, one hundred".