1001302212100 has 72 divisors (see below), whose sum is σ = 2194452198848. Its totient is φ = 396536342400.

The previous prime is 1001302212073. The next prime is 1001302212103. The reversal of 1001302212100 is 12122031001.

It is a super-2 number, since 2×1001302212100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1001302212103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55065010 + ... + 55083190.

Almost surely, 2^{1001302212100} is an apocalyptic number.

1001302212100 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 1001302212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097226099424).

1001302212100 is an abundant number, since it is smaller than the sum of its proper divisors (1193149986748).

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

1001302212100 is a wasteful number, since it uses less digits than its factorization.

1001302212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23645 (or 23638 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1001302212100 its reverse (12122031001), we get a palindrome (1013424243101).

The spelling of 1001302212100 in words is "one trillion, one billion, three hundred two million, two hundred twelve thousand, one hundred".