101012112102001 has 16 divisors (see below), whose sum is σ = 103015362714880. Its totient is φ = 99028948170240.

The previous prime is 101012112101983. The next prime is 101012112102037. The reversal of 101012112102001 is 100201211210101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101012112102001 - 2³³ = 101003522167409 is a prime.

It is a super-3 number, since 3×101012112102001³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012112102061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41391256 + ... + 43763686.

It is an arithmetic number, because the mean of its divisors is an integer number (6438460169680).

Almost surely, 2^{101012112102001} is an apocalyptic number.

It is an amenable number.

101012112102001 is a deficient number, since it is larger than the sum of its proper divisors (2003250612879).

101012112102001 is a wasteful number, since it uses less digits than its factorization.

101012112102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376664.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101012112102001 its reverse (100201211210101), we get a palindrome (201213323312102).

The spelling of 101012112102001 in words is "one hundred one trillion, twelve billion, one hundred twelve million, one hundred two thousand, one".