101002101111 has 24 divisors (see below), whose sum is σ = 148128864000. Its totient is φ = 66306803472.

The previous prime is 101002101097. The next prime is 101002101131. The reversal of 101002101111 is 111101200101.

It is not a de Polignac number, because 101002101111 - 2¹⁴ = 101002084727 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101002101093 and 101002101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002101131) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82060 + ... + 456878.

It is an arithmetic number, because the mean of its divisors is an integer number (6172036000).

Almost surely, 2^101002101111 is an apocalyptic number.

101002101111 is a deficient number, since it is larger than the sum of its proper divisors (47126762889).

101002101111 is a wasteful number, since it uses less digits than its factorization.

101002101111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375283 (or 375280 counting only the distinct ones).

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

Adding to 101002101111 its reverse (111101200101), we get a palindrome (212103301212).

The spelling of 101002101111 in words is "one hundred one billion, two million, one hundred one thousand, one hundred eleven".