10012201100 has 72 divisors (see below), whose sum is σ = 23843973888. Its totient is φ = 3618932800.

The previous prime is 10012201097. The next prime is 10012201103. The reversal of 10012201100 is 110221001.

It is an interprime number because it is at equal distance from previous prime (10012201097) and next prime (10012201103).

It is not an unprimeable number, because it can be changed into a prime (10012201103) 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, 156449 + ... + 210951.

It is an arithmetic number, because the mean of its divisors is an integer number (331166304).

Almost surely, 2^10012201100 is an apocalyptic number.

10012201100 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 10012201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11921986944).

10012201100 is an abundant number, since it is smaller than the sum of its proper divisors (13831772788).

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

10012201100 is a wasteful number, since it uses less digits than its factorization.

10012201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54695 (or 54688 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10012201100 its reverse (110221001), we get a palindrome (10122422101).

It can be divided in two parts, 10012 and 201100, that added together give a palindrome (211112).

The spelling of 10012201100 in words is "ten billion, twelve million, two hundred one thousand, one hundred".