10101111002101 has 16 divisors (see below), whose sum is σ = 11788983357568. Its totient is φ = 8475798139200.

The previous prime is 10101111001999. The next prime is 10101111002117. The reversal of 10101111002101 is 10120011110101.

It is not a de Polignac number, because 10101111002101 - 2⁷ = 10101111001973 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111042101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55966770 + ... + 56146963.

It is an arithmetic number, because the mean of its divisors is an integer number (736811459848).

Almost surely, 2^{10101111002101} is an apocalyptic number.

It is an amenable number.

10101111002101 is a deficient number, since it is larger than the sum of its proper divisors (1687872355467).

10101111002101 is a wasteful number, since it uses less digits than its factorization.

10101111002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112114012.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101111002101 its reverse (10120011110101), we get a palindrome (20221122112202).

The spelling of 10101111002101 in words is "ten trillion, one hundred one billion, one hundred eleven million, two thousand, one hundred one".