101020012001 has 2 divisors, whose sum is σ = 101020012002. Its totient is φ = 101020012000.

The previous prime is 101020011907. The next prime is 101020012007. The reversal of 101020012001 is 100210020101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98878173601 + 2141838400 = 314449^2 + 46280^2 .

It is an emirp because it is prime and its reverse (100210020101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101020012001 - 2²² = 101015817697 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101020012001.

It is not a weakly prime, because it can be changed into another prime (101020012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510006000 + 50510006001.

It is an arithmetic number, because the mean of its divisors is an integer number (50510006001).

Almost surely, 2^101020012001 is an apocalyptic number.

It is an amenable number.

101020012001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020012001 is an equidigital number, since it uses as much as digits as its factorization.

101020012001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101020012001 its reverse (100210020101), we get a palindrome (201230032102).

It can be divided in two parts, 1010200 and 12001, that added together give a palindrome (1022201).

The spelling of 101020012001 in words is "one hundred one billion, twenty million, twelve thousand, one".