10110101112001 has 32 divisors (see below), whose sum is σ = 11187792645120. Its totient is φ = 9060089241600.

The previous prime is 10110101111983. The next prime is 10110101112019. The reversal of 10110101112001 is 10021110101101.

It is an interprime number because it is at equal distance from previous prime (10110101111983) and next prime (10110101112019).

It is a cyclic number.

It is not a de Polignac number, because 10110101112001 - 2¹⁷ = 10110100980929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10110101112301) 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, 103401505 + ... + 103499233.

It is an arithmetic number, because the mean of its divisors is an integer number (349618520160).

Almost surely, 2^{10110101112001} is an apocalyptic number.

10110101112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10110101112001 is a deficient number, since it is larger than the sum of its proper divisors (1077691533119).

10110101112001 is a wasteful number, since it uses less digits than its factorization.

10110101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98377.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10110101112001 its reverse (10021110101101), we get a palindrome (20131211213102).

The spelling of 10110101112001 in words is "ten trillion, one hundred ten billion, one hundred one million, one hundred twelve thousand, one".