10012010033000 has 32 divisors (see below), whose sum is σ = 23428103479560. Its totient is φ = 4004804012800.

The previous prime is 10012010032891. The next prime is 10012010033021. The reversal of 10012010033000 is 33001021001.

It can be written as a sum of positive squares in 4 ways, for example, as 1464327488836 + 8547682544164 = 1210094^2 + 2923642^2 .

It is a super-2 number, since 2×10012010033000² (a number of 27 digits) contains 22 as substring.

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, 5006004017 + ... + 5006006016.

Almost surely, 2^{10012010033000} is an apocalyptic number.

10012010033000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012010033000 is an abundant number, since it is smaller than the sum of its proper divisors (13416093446560).

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

10012010033000 is a wasteful number, since it uses less digits than its factorization.

10012010033000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012010054 (or 10012010040 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 10012010033000 its reverse (33001021001), we get a palindrome (10045011054001).

The spelling of 10012010033000 in words is "ten trillion, twelve billion, ten million, thirty-three thousand".