101002001100111 has 12 divisors (see below), whose sum is σ = 148069268611992. Its totient is φ = 66329672363856.

The previous prime is 101002001100107. The next prime is 101002001100149. The reversal of 101002001100111 is 111001100200101.

It is not a de Polignac number, because 101002001100111 - 2² = 101002001100107 is a prime.

It is a super-3 number, since 3×101002001100111³ (a number of 43 digits) contains 333 as substring.

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 = 101002001100093 and 101002001100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002001140111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 83749585716 + ... + 83749586921.

It is an arithmetic number, because the mean of its divisors is an integer number (12339105717666).

Almost surely, 2^{101002001100111} is an apocalyptic number.

101002001100111 is a deficient number, since it is larger than the sum of its proper divisors (47067267511881).

101002001100111 is a wasteful number, since it uses less digits than its factorization.

101002001100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167499172710 (or 167499172707 counting only the distinct ones).

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

Adding to 101002001100111 its reverse (111001100200101), we get a palindrome (212003101300212).

The spelling of 101002001100111 in words is "one hundred one trillion, two billion, one million, one hundred thousand, one hundred eleven".