12001101122010 has 256 divisors, whose sum is σ = 38726692945920. Its totient is φ = 2298658728960.

The previous prime is 12001101121993. The next prime is 12001101122051. The reversal of 12001101122010 is 1022110110021.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21009439 + ... + 21573101.

It is an arithmetic number, because the mean of its divisors is an integer number (151276144320).

Almost surely, 2^{12001101122010} is an apocalyptic number.

12001101122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12001101122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363346472960).

12001101122010 is an abundant number, since it is smaller than the sum of its proper divisors (26725591823910).

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

12001101122010 is a wasteful number, since it uses less digits than its factorization.

12001101122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564413.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 12001101122010 its reverse (1022110110021), we get a palindrome (13023211232031).

The spelling of 12001101122010 in words is "twelve trillion, one billion, one hundred one million, one hundred twenty-two thousand, ten".