10020120201101 has 2 divisors, whose sum is σ = 10020120201102. Its totient is φ = 10020120201100.

The previous prime is 10020120201059. The next prime is 10020120201131. The reversal of 10020120201101 is 10110202102001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6201120942025 + 3818999259076 = 2490205^2 + 1954226^2 .

It is an emirp because it is prime and its reverse (10110202102001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10020120201101 is a prime.

It is a super-2 number, since 2×10020120201101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10020120201131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010060100550 + 5010060100551.

It is an arithmetic number, because the mean of its divisors is an integer number (5010060100551).

Almost surely, 2^{10020120201101} is an apocalyptic number.

It is an amenable number.

10020120201101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020120201101 is an equidigital number, since it uses as much as digits as its factorization.

10020120201101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10020120201101 its reverse (10110202102001), we get a palindrome (20130322303102).

The spelling of 10020120201101 in words is "ten trillion, twenty billion, one hundred twenty million, two hundred one thousand, one hundred one".