10211012100001 has 6 divisors (see below), whose sum is σ = 10356854769506. Its totient is φ = 10067195023200.

The previous prime is 10211012099999. The next prime is 10211012100053. The reversal of 10211012100001 is 10000121011201.

It can be written as a sum of positive squares in only one way, i.e., 8690232326400 + 1520779773601 = 2947920^2 + 1233199^2 .

It is not a de Polignac number, because 10211012100001 - 2¹ = 10211012099999 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211012100061) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1012791240 + ... + 1012801321.

Almost surely, 2^{10211012100001} is an apocalyptic number.

It is an amenable number.

10211012100001 is a deficient number, since it is larger than the sum of its proper divisors (145842669505).

10211012100001 is an frugal number, since it uses more digits than its factorization.

10211012100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025592703 (or 2025592632 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10211012100001 its reverse (10000121011201), we get a palindrome (20211133111202).

The spelling of 10211012100001 in words is "ten trillion, two hundred eleven billion, twelve million, one hundred thousand, one".