1010412122000 has 80 divisors (see below), whose sum is σ = 2458738908912. Its totient is φ = 401590425600.

The previous prime is 1010412121997. The next prime is 1010412122003. The reversal of 1010412122000 is 2212140101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1010412121997) and next prime (1010412122003).

It can be written as a sum of positive squares in 8 ways, for example, as 295988226304 + 714423895696 = 544048^2 + 845236^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (1010412122003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1294937 + ... + 1922936.

Almost surely, 2^{1010412122000} is an apocalyptic number.

1010412122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010412122000 is an abundant number, since it is smaller than the sum of its proper divisors (1448326786912).

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

1010412122000 is a wasteful number, since it uses less digits than its factorization.

1010412122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218053 (or 3218037 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1010412122000 its reverse (2212140101), we get a palindrome (1012624262101).

The spelling of 1010412122000 in words is "one trillion, ten billion, four hundred twelve million, one hundred twenty-two thousand".