10100100102111 has 12 divisors (see below), whose sum is σ = 14589078696192. Its totient is φ = 6733379199456.

The previous prime is 10100100102077. The next prime is 10100100102121. The reversal of 10100100102111 is 11120100100101.

It is not a de Polignac number, because 10100100102111 - 2²¹ = 10100098004959 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 = 10100100102093 and 10100100102102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100102121) 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, 1679970 + ... + 4798176.

It is an arithmetic number, because the mean of its divisors is an integer number (1215756558016).

Almost surely, 2^{10100100102111} is an apocalyptic number.

10100100102111 is a deficient number, since it is larger than the sum of its proper divisors (4488978594081).

10100100102111 is a wasteful number, since it uses less digits than its factorization.

10100100102111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3478110 (or 3478107 counting only the distinct ones).

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

Adding to 10100100102111 its reverse (11120100100101), we get a palindrome (21220200202212).

The spelling of 10100100102111 in words is "ten trillion, one hundred billion, one hundred million, one hundred two thousand, one hundred eleven".