10101112100001 has 32 divisors (see below), whose sum is σ = 16115937264000. Its totient is φ = 6215990739264.

The previous prime is 10101112099963. The next prime is 10101112100059. The reversal of 10101112100001 is 10000121110101.

10101112100001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10101112100001 - 2¹⁴ = 10101112083617 is a prime.

It is a super-2 number, since 2×10101112100001² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10101112107001) 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, 41176015 + ... + 41420603.

It is an arithmetic number, because the mean of its divisors is an integer number (503623039500).

Almost surely, 2^{10101112100001} is an apocalyptic number.

It is an amenable number.

10101112100001 is a deficient number, since it is larger than the sum of its proper divisors (6014825163999).

10101112100001 is a wasteful number, since it uses less digits than its factorization.

10101112100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362270 (or 362264 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101112100001 its reverse (10000121110101), we get a palindrome (20101233210102).

The spelling of 10101112100001 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred thousand, one".