10221010012000 has 48 divisors (see below), whose sum is σ = 25113021609312. Its totient is φ = 4088404003200.

The previous prime is 10221010011991. The next prime is 10221010012009. The reversal of 10221010012000 is 21001012201.

10221010012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10221010011991) and next prime (10221010012009).

It is a super-3 number, since 3×10221010012000³ (a number of 40 digits) contains 333 as substring.

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 (10221010012009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1277622252 + ... + 1277630251.

It is an arithmetic number, because the mean of its divisors is an integer number (523187950194).

Almost surely, 2^{10221010012000} is an apocalyptic number.

10221010012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221010012000 is an abundant number, since it is smaller than the sum of its proper divisors (14892011597312).

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

10221010012000 is an equidigital number, since it uses as much as digits as its factorization.

10221010012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555252528 (or 2555252510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221010012000 its reverse (21001012201), we get a palindrome (10242011024201).

The spelling of 10221010012000 in words is "ten trillion, two hundred twenty-one billion, ten million, twelve thousand".