101002011001101 has 48 divisors (see below), whose sum is σ = 173173585812864. Its totient is φ = 57627049178304.

The previous prime is 101002011001081. The next prime is 101002011001159. The reversal of 101002011001101 is 101100110200101.

It is not a de Polignac number, because 101002011001101 - 2¹⁴ = 101002010984717 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002011401101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44354806 + ... + 46576311.

It is an arithmetic number, because the mean of its divisors is an integer number (3607783037768).

Almost surely, 2^{101002011001101} is an apocalyptic number.

It is an amenable number.

101002011001101 is a deficient number, since it is larger than the sum of its proper divisors (72171574811763).

101002011001101 is an frugal number, since it uses more digits than its factorization.

101002011001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90931792 (or 90931780 counting only the distinct ones).

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

Adding to 101002011001101 its reverse (101100110200101), we get a palindrome (202102121201202).

The spelling of 101002011001101 in words is "one hundred one trillion, two billion, eleven million, one thousand, one hundred one".