101201002120 has 32 divisors (see below), whose sum is σ = 229956741720. Its totient is φ = 40079603200.

The previous prime is 101201002093. The next prime is 101201002121. The reversal of 101201002120 is 21200102101.

101201002120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 99014691556 + 2186310564 = 314666^2 + 46758^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101201002097 and 101201002106.

It is not an unprimeable number, because it can be changed into a prime (101201002121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12520837 + ... + 12528916.

Almost surely, 2^101201002120 is an apocalyptic number.

101201002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201002120 is an abundant number, since it is smaller than the sum of its proper divisors (128755739600).

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

101201002120 is a wasteful number, since it uses less digits than its factorization.

101201002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25049865 (or 25049861 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101201002120 its reverse (21200102101), we get a palindrome (122401104221).

The spelling of 101201002120 in words is "one hundred one billion, two hundred one million, two thousand, one hundred twenty".