1012001201000 has 32 divisors (see below), whose sum is σ = 2368082812680. Its totient is φ = 404800480000.

The previous prime is 1012001200963. The next prime is 1012001201017. The reversal of 1012001201000 is 1021002101.

It can be written as a sum of positive squares in 4 ways, for example, as 476566554244 + 535434646756 = 690338^2 + 731734^2 .

It is a super-3 number, since 3×1012001201000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 505999601 + ... + 506001600.

Almost surely, 2^{1012001201000} is an apocalyptic number.

1012001201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012001201000 is an abundant number, since it is smaller than the sum of its proper divisors (1356081611680).

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

1012001201000 is a wasteful number, since it uses less digits than its factorization.

1012001201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012001222 (or 1012001208 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1012001201000 its reverse (1021002101), we get a palindrome (1013022203101).

The spelling of 1012001201000 in words is "one trillion, twelve billion, one million, two hundred one thousand".