10001201021957 has 2 divisors, whose sum is σ = 10001201021958. Its totient is φ = 10001201021956.

The previous prime is 10001201021891. The next prime is 10001201021969. The reversal of 10001201021957 is 75912010210001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9459032406916 + 542168615041 = 3075554^2 + 736321^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001201021957 - 2³⁸ = 9726323115013 is a prime.

It is a super-3 number, since 3×10001201021957³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001201021057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000600510978 + 5000600510979.

It is an arithmetic number, because the mean of its divisors is an integer number (5000600510979).

Almost surely, 2^{10001201021957} is an apocalyptic number.

It is an amenable number.

10001201021957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001201021957 is an equidigital number, since it uses as much as digits as its factorization.

10001201021957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1260, while the sum is 29.

Adding to 10001201021957 its reverse (75912010210001), we get a palindrome (85913211231958).

The spelling of 10001201021957 in words is "ten trillion, one billion, two hundred one million, twenty-one thousand, nine hundred fifty-seven".