10210401201 has 192 divisors, whose sum is σ = 19562618880. Its totient is φ = 4599936000.

The previous prime is 10210401151. The next prime is 10210401233.

It is a happy number.

10210401201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10210401201 - 2⁶ = 10210401137 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10210401281) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 67618476 + ... + 67618626.

It is an arithmetic number, because the mean of its divisors is an integer number (101888640).

Almost surely, 2^10210401201 is an apocalyptic number.

10210401201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210401201 is a deficient number, since it is larger than the sum of its proper divisors (9352217679).

10210401201 is a wasteful number, since it uses less digits than its factorization.

10210401201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The spelling of 10210401201 in words is "ten billion, two hundred ten million, four hundred one thousand, two hundred one".