10001211000100 has 72 divisors (see below), whose sum is σ = 21838013909600. Its totient is φ = 3975533498880.

The previous prime is 10001211000019. The next prime is 10001211000107. The reversal of 10001211000100 is 100011210001.

It is not an unprimeable number, because it can be changed into a prime (10001211000107) 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, 196373239 + ... + 196424161.

Almost surely, 2^{10001211000100} is an apocalyptic number.

10001211000100 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 10001211000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919006954800).

10001211000100 is an abundant number, since it is smaller than the sum of its proper divisors (11836802909500).

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

10001211000100 is a wasteful number, since it uses less digits than its factorization.

10001211000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63149 (or 63142 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10001211000100 its reverse (100011210001), we get a palindrome (10101222210101).

The spelling of 10001211000100 in words is "ten trillion, one billion, two hundred eleven million, one hundred", and thus it is an aban number.