10212200100120 has 128 divisors (see below), whose sum is σ = 30759944529600. Its totient is φ = 2712292294656.

The previous prime is 10212200100119. The next prime is 10212200100149. The reversal of 10212200100120 is 2100100221201.

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

It is a junction number, because it is equal to n+sod(n) for n = 10212200100096 and 10212200100105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291019536 + ... + 291054624.

Almost surely, 2^{10212200100120} is an apocalyptic number.

10212200100120 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 10212200100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15379972264800).

10212200100120 is an abundant number, since it is smaller than the sum of its proper divisors (20547744429480).

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

10212200100120 is a wasteful number, since it uses less digits than its factorization.

10212200100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44797 (or 44793 counting only the distinct ones).

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

Adding to 10212200100120 its reverse (2100100221201), we get a palindrome (12312300321321).

The spelling of 10212200100120 in words is "ten trillion, two hundred twelve billion, two hundred million, one hundred thousand, one hundred twenty".