1000210100112 has 60 divisors (see below), whose sum is σ = 2946525376080. Its totient is φ = 315855820224.

The previous prime is 1000210100101. The next prime is 1000210100147. The reversal of 1000210100112 is 2110010120001.

It is a happy number.

1000210100112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000210100094 and 1000210100103.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 182784198 + ... + 182789669.

It is an arithmetic number, because the mean of its divisors is an integer number (49108756268).

Almost surely, 2^{1000210100112} is an apocalyptic number.

1000210100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000210100112 is an abundant number, since it is smaller than the sum of its proper divisors (1946315275968).

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

1000210100112 is a wasteful number, since it uses less digits than its factorization.

1000210100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365573900 (or 365573891 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000210100112 its reverse (2110010120001), we get a palindrome (3110220220113).

The spelling of 1000210100112 in words is "one trillion, two hundred ten million, one hundred thousand, one hundred twelve".