102101021000111 has 16 divisors (see below), whose sum is σ = 117567777950784. Its totient is φ = 86855795230464.

The previous prime is 102101021000089. The next prime is 102101021000159. The reversal of 102101021000111 is 111000120101201.

It is a cyclic number.

It is not a de Polignac number, because 102101021000111 - 2¹⁴ = 102101020983727 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102101021000092 and 102101021000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101021000911) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53519510 + ... + 55394403.

It is an arithmetic number, because the mean of its divisors is an integer number (7347986121924).

Almost surely, 2^{102101021000111} is an apocalyptic number.

102101021000111 is a deficient number, since it is larger than the sum of its proper divisors (15466756950673).

102101021000111 is a wasteful number, since it uses less digits than its factorization.

102101021000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108914930.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101021000111 its reverse (111000120101201), we get a palindrome (213101141101312).

The spelling of 102101021000111 in words is "one hundred two trillion, one hundred one billion, twenty-one million, one hundred eleven", and thus it is an aban number.