10220010120101 has 12 divisors (see below), whose sum is σ = 10787078616300. Its totient is φ = 9681340235328.

The previous prime is 10220010120077. The next prime is 10220010120109. The reversal of 10220010120101 is 10102101002201.

It can be written as a sum of positive squares in 2 ways, for example, as 7140946785025 + 3079063335076 = 2672255^2 + 1754726^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10220010120101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220010120109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3411215 + ... + 5663603.

It is an arithmetic number, because the mean of its divisors is an integer number (898923218025).

Almost surely, 2^{10220010120101} is an apocalyptic number.

It is an amenable number.

10220010120101 is a deficient number, since it is larger than the sum of its proper divisors (567068496199).

10220010120101 is a wasteful number, since it uses less digits than its factorization.

10220010120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2264996 (or 2264977 counting only the distinct ones).

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

Adding to 10220010120101 its reverse (10102101002201), we get a palindrome (20322111122302).

The spelling of 10220010120101 in words is "ten trillion, two hundred twenty billion, ten million, one hundred twenty thousand, one hundred one".