10211142120 has 32 divisors (see below), whose sum is σ = 30633426720. Its totient is φ = 2722971200.

The previous prime is 10211142101. The next prime is 10211142167. The reversal of 10211142120 is 2124111201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10211142120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42546306 + ... + 42546545.

It is an arithmetic number, because the mean of its divisors is an integer number (957294585).

Almost surely, 2^10211142120 is an apocalyptic number.

10211142120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211142120 is an abundant number, since it is smaller than the sum of its proper divisors (20422284600).

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

10211142120 is a wasteful number, since it uses less digits than its factorization.

10211142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85092865 (or 85092861 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211142120 its reverse (2124111201), we get a palindrome (12335253321).

The spelling of 10211142120 in words is "ten billion, two hundred eleven million, one hundred forty-two thousand, one hundred twenty".