10211114124 has 96 divisors (see below), whose sum is σ = 28714392000. Its totient is φ = 3125329920.

The previous prime is 10211114057. The next prime is 10211114131. The reversal of 10211114124 is 42141111201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10211114097 and 10211114106.

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 31 ways as a sum of consecutive naturals, for example, 7452 + ... + 143100.

It is an arithmetic number, because the mean of its divisors is an integer number (299108250).

Almost surely, 2^10211114124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211114124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14357196000).

10211114124 is an abundant number, since it is smaller than the sum of its proper divisors (18503277876).

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

10211114124 is a wasteful number, since it uses less digits than its factorization.

10211114124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135720 (or 135712 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211114124 its reverse (42141111201), we get a palindrome (52352225325).

The spelling of 10211114124 in words is "ten billion, two hundred eleven million, one hundred fourteen thousand, one hundred twenty-four".