10011210022000 has 160 divisors (see below), whose sum is σ = 26437777748928. Its totient is φ = 3636300800000.

The previous prime is 10011210021997. The next prime is 10011210022001. The reversal of 10011210022000 is 22001211001.

It is a super-3 number, since 3×10011210022000³ (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 (10011210022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19123740 + ... + 19640260.

Almost surely, 2^{10011210022000} is an apocalyptic number.

10011210022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10011210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13218888874464).

10011210022000 is an abundant number, since it is smaller than the sum of its proper divisors (16426567726928).

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

10011210022000 is a wasteful number, since it uses less digits than its factorization.

10011210022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517436 (or 517420 counting only the distinct ones).

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

Adding to 10011210022000 its reverse (22001211001), we get a palindrome (10033211233001).

The spelling of 10011210022000 in words is "ten trillion, eleven billion, two hundred ten million, twenty-two thousand".