10211012400001 has 32 divisors (see below), whose sum is σ = 11864489472000. Its totient is φ = 8607172758912.

The previous prime is 10211012399977. The next prime is 10211012400031. The reversal of 10211012400001 is 10000421011201.

It is not a de Polignac number, because 10211012400001 - 2⁴¹ = 8011989144449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211012400031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149016390 + ... + 149084896.

It is an arithmetic number, because the mean of its divisors is an integer number (370765296000).

Almost surely, 2^{10211012400001} is an apocalyptic number.

It is an amenable number.

10211012400001 is a deficient number, since it is larger than the sum of its proper divisors (1653477071999).

10211012400001 is an equidigital number, since it uses as much as digits as its factorization.

10211012400001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69661.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10211012400001 its reverse (10000421011201), we get a palindrome (20211433411202).

The spelling of 10211012400001 in words is "ten trillion, two hundred eleven billion, twelve million, four hundred thousand, one".