102011000101101 has 48 divisors (see below), whose sum is σ = 181355931958656. Its totient is φ = 53807097218688.

The previous prime is 102011000101093. The next prime is 102011000101133. The reversal of 102011000101101 is 101101000110201.

It is not a de Polignac number, because 102011000101101 - 2³ = 102011000101093 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 (102011000101301) 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, 49274811 + ... + 51303303.

It is an arithmetic number, because the mean of its divisors is an integer number (3778248582472).

Almost surely, 2^{102011000101101} is an apocalyptic number.

It is an amenable number.

102011000101101 is a deficient number, since it is larger than the sum of its proper divisors (79344931857555).

102011000101101 is a wasteful number, since it uses less digits than its factorization.

102011000101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089922 (or 2089919 counting only the distinct ones).

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

Adding to 102011000101101 its reverse (101101000110201), we get a palindrome (203112000211302).

The spelling of 102011000101101 in words is "one hundred two trillion, eleven billion, one hundred one thousand, one hundred one".