1012000121000 has 64 divisors (see below), whose sum is σ = 2583360336960. Its totient is φ = 368000040000.

The previous prime is 1012000120991. The next prime is 1012000121009. The reversal of 1012000121000 is 1210002101.

It is an interprime number because it is at equal distance from previous prime (1012000120991) and next prime (1012000121009).

It is a super-3 number, since 3×1012000121000³ (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 not an unprimeable number, because it can be changed into a prime (1012000121009) 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, 45989006 + ... + 46011005.

It is an arithmetic number, because the mean of its divisors is an integer number (40365005265).

Almost surely, 2^{1012000121000} is an apocalyptic number.

1012000121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012000121000 is an abundant number, since it is smaller than the sum of its proper divisors (1571360215960).

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

1012000121000 is a wasteful number, since it uses less digits than its factorization.

1012000121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92000043 (or 92000029 counting only the distinct ones).

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

Adding to 1012000121000 its reverse (1210002101), we get a palindrome (1013210123101).

The spelling of 1012000121000 in words is "one trillion, twelve billion, one hundred twenty-one thousand".