110010111212001 has 384 divisors, whose sum is σ = 208622053785600. Its totient is φ = 50808788352000.

The previous prime is 110010111211991. The next prime is 110010111212017. The reversal of 110010111212001 is 100212111010011.

It is not a de Polignac number, because 110010111212001 - 2¹⁰ = 110010111210977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (110010111212021) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20345865840 + ... + 20345871246.

It is an arithmetic number, because the mean of its divisors is an integer number (543286598400).

Almost surely, 2^{110010111212001} is an apocalyptic number.

110010111212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

110010111212001 is a deficient number, since it is larger than the sum of its proper divisors (98611942573599).

110010111212001 is a wasteful number, since it uses less digits than its factorization.

110010111212001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 110010111212001 its reverse (100212111010011), we get a palindrome (210222222222012).

The spelling of 110010111212001 in words is "one hundred ten trillion, ten billion, one hundred eleven million, two hundred twelve thousand, one".