10211111400 has 96 divisors (see below), whose sum is σ = 36176523840. Its totient is φ = 2333967360.

The previous prime is 10211111399. The next prime is 10211111419. The reversal of 10211111400 is 411111201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1211409 + ... + 1219808.

It is an arithmetic number, because the mean of its divisors is an integer number (376838790).

Almost surely, 2^10211111400 is an apocalyptic number.

10211111400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211111400 is an abundant number, since it is smaller than the sum of its proper divisors (25965412440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10211111400 is a wasteful number, since it uses less digits than its factorization.

10211111400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2431243 (or 2431234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10211111400 its reverse (411111201), we get a palindrome (10622222601).

The spelling of 10211111400 in words is "ten billion, two hundred eleven million, one hundred eleven thousand, four hundred".