10011221012000 has 96 divisors (see below), whose sum is σ = 26489690935344. Its totient is φ = 3696450816000.

The previous prime is 10011221011993. The next prime is 10011221012011. The reversal of 10011221012000 is 21012211001.

It can be written as a sum of positive squares in 8 ways, for example, as 36311589136 + 9974909422864 = 190556^2 + 3158308^2 .

It is a super-2 number, since 2×10011221012000² (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 15 ways as a sum of consecutive naturals, for example, 96209741 + ... + 96313740.

Almost surely, 2^{10011221012000} is an apocalyptic number.

10011221012000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011221012000 is an abundant number, since it is smaller than the sum of its proper divisors (16478469923344).

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

10011221012000 is a wasteful number, since it uses less digits than its factorization.

10011221012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192523519 (or 192523501 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10011221012000 its reverse (21012211001), we get a palindrome (10032233223001).

The spelling of 10011221012000 in words is "ten trillion, eleven billion, two hundred twenty-one million, twelve thousand".