10120220222100 has 144 divisors (see below), whose sum is σ = 29379201194112. Its totient is φ = 2689699991040.

The previous prime is 10120220222081. The next prime is 10120220222107. The reversal of 10120220222100 is 122202202101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10120220222100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120220222107) 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, 172632394 + ... + 172691006.

Almost surely, 2^{10120220222100} is an apocalyptic number.

10120220222100 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 10120220222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689600597056).

10120220222100 is an abundant number, since it is smaller than the sum of its proper divisors (19258980972012).

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

10120220222100 is a wasteful number, since it uses less digits than its factorization.

10120220222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60546 (or 60539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10120220222100 its reverse (122202202101), we get a palindrome (10242422424201).

The spelling of 10120220222100 in words is "ten trillion, one hundred twenty billion, two hundred twenty million, two hundred twenty-two thousand, one hundred".