10101100002120 has 96 divisors (see below), whose sum is σ = 33715833835320. Its totient is φ = 2620825943040.

The previous prime is 10101100002101. The next prime is 10101100002121. The reversal of 10101100002120 is 2120000110101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10066697913636 + 34402088484 = 3172806^2 + 185478^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10101100002121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379157101 + ... + 379183740.

Almost surely, 2^{10101100002120} is an apocalyptic number.

10101100002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101100002120 is an abundant number, since it is smaller than the sum of its proper divisors (23614733833200).

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

10101100002120 is a wasteful number, since it uses less digits than its factorization.

10101100002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758340895 (or 758340888 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101100002120 its reverse (2120000110101), we get a palindrome (12221100112221).

The spelling of 10101100002120 in words is "ten trillion, one hundred one billion, one hundred million, two thousand, one hundred twenty".