10120001221100 has 72 divisors (see below), whose sum is σ = 22224664197120. Its totient is φ = 3999499130880.

The previous prime is 10120001221081. The next prime is 10120001221103. The reversal of 10120001221100 is 112210002101.

It is not an unprimeable number, because it can be changed into a prime (10120001221103) 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, 2532629 + ... + 5162771.

Almost surely, 2^{10120001221100} is an apocalyptic number.

10120001221100 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 10120001221100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11112332098560).

10120001221100 is an abundant number, since it is smaller than the sum of its proper divisors (12104662976020).

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

10120001221100 is a wasteful number, since it uses less digits than its factorization.

10120001221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2630619 (or 2630612 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10120001221100 its reverse (112210002101), we get a palindrome (10232211223201).

The spelling of 10120001221100 in words is "ten trillion, one hundred twenty billion, one million, two hundred twenty-one thousand, one hundred".