10012010021000 has 64 divisors (see below), whose sum is σ = 25230265285680. Its totient is φ = 3696742156800.

The previous prime is 10012010020981. The next prime is 10012010021003. The reversal of 10012010021000 is 12001021001.

It can be written as a sum of positive squares in 8 ways, for example, as 177175330084 + 9834834690916 = 420922^2 + 3136054^2 .

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 (10012010021003) 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, 385064309 + ... + 385090308.

Almost surely, 2^{10012010021000} is an apocalyptic number.

10012010021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012010021000 is an abundant number, since it is smaller than the sum of its proper divisors (15218255264680).

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

10012010021000 is a wasteful number, since it uses less digits than its factorization.

10012010021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770154651 (or 770154637 counting only the distinct ones).

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

Adding to 10012010021000 its reverse (12001021001), we get a palindrome (10024011042001).

The spelling of 10012010021000 in words is "ten trillion, twelve billion, ten million, twenty-one thousand".