10211010201001 has 16 divisors (see below), whose sum is σ = 10343233824768. Its totient is φ = 10079418384000.

The previous prime is 10211010200983. The next prime is 10211010201047. The reversal of 10211010201001 is 10010201011201.

10211010201001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10211010201001 - 2⁵ = 10211010200969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211010205001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97467490 + ... + 97572196.

It is an arithmetic number, because the mean of its divisors is an integer number (646452114048).

Almost surely, 2^{10211010201001} is an apocalyptic number.

It is an amenable number.

10211010201001 is a deficient number, since it is larger than the sum of its proper divisors (132223623767).

10211010201001 is a wasteful number, since it uses less digits than its factorization.

10211010201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107712.

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

Adding to 10211010201001 its reverse (10010201011201), we get a palindrome (20221211212202).

The spelling of 10211010201001 in words is "ten trillion, two hundred eleven billion, ten million, two hundred one thousand, one".