10210101002120 has 16 divisors (see below), whose sum is σ = 22972727254860. Its totient is φ = 4084040400832.

The previous prime is 10210101002039. The next prime is 10210101002201. The reversal of 10210101002120 is 2120010101201.

10210101002120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10210101002039) and next prime (10210101002201).

It can be written as a sum of positive squares in 2 ways, for example, as 9696410576836 + 513690425284 = 3113906^2 + 716722^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 127626262487 + ... + 127626262566.

Almost surely, 2^{10210101002120} is an apocalyptic number.

10210101002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210101002120 is an abundant number, since it is smaller than the sum of its proper divisors (12762626252740).

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

10210101002120 is a wasteful number, since it uses less digits than its factorization.

10210101002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255252525064 (or 255252525060 counting only the distinct ones).

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

Adding to 10210101002120 its reverse (2120010101201), we get a palindrome (12330111103321).

The spelling of 10210101002120 in words is "ten trillion, two hundred ten billion, one hundred one million, two thousand, one hundred twenty".