10001211122000 has 160 divisors (see below), whose sum is σ = 28225669155840. Its totient is φ = 3356029286400.

The previous prime is 10001211121999. The next prime is 10001211122011. The reversal of 10001211122000 is 22111210001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6941705 + ... + 8257704.

It is an arithmetic number, because the mean of its divisors is an integer number (176410432224).

Almost surely, 2^{10001211122000} is an apocalyptic number.

10001211122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001211122000 is an abundant number, since it is smaller than the sum of its proper divisors (18224458033840).

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

10001211122000 is a wasteful number, since it uses less digits than its factorization.

10001211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15199486 (or 15199470 counting only the distinct ones).

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

Adding to 10001211122000 its reverse (22111210001), we get a palindrome (10023322332001).

The spelling of 10001211122000 in words is "ten trillion, one billion, two hundred eleven million, one hundred twenty-two thousand".