10021200031000 has 64 divisors (see below), whose sum is σ = 23453740421280. Its totient is φ = 4007773628800.

The previous prime is 10021200030983. The next prime is 10021200031009. The reversal of 10021200031000 is 13000212001.

It is a super-3 number, since 3×10021200031000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10021200031009) 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, 4812867 + ... + 6573133.

Almost surely, 2^{10021200031000} is an apocalyptic number.

10021200031000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10021200031000 is an abundant number, since it is smaller than the sum of its proper divisors (13432540390280).

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

10021200031000 is a wasteful number, since it uses less digits than its factorization.

10021200031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1765981 (or 1765967 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10021200031000 its reverse (13000212001), we get a palindrome (10034200243001).

The spelling of 10021200031000 in words is "ten trillion, twenty-one billion, two hundred million, thirty-one thousand".