10120012220100 has 144 divisors (see below), whose sum is σ = 30226980793856. Its totient is φ = 2611453824000.

The previous prime is 10120012220081. The next prime is 10120012220137. The reversal of 10120012220100 is 102221002101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 245843520 + ... + 245884680.

Almost surely, 2^{10120012220100} is an apocalyptic number.

10120012220100 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 10120012220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15113490396928).

10120012220100 is an abundant number, since it is smaller than the sum of its proper divisors (20106968573756).

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

10120012220100 is a wasteful number, since it uses less digits than its factorization.

10120012220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67646 (or 67639 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120012220100 its reverse (102221002101), we get a palindrome (10222233222201).

The spelling of 10120012220100 in words is "ten trillion, one hundred twenty billion, twelve million, two hundred twenty thousand, one hundred".