102100100211011 has 8 divisors (see below), whose sum is σ = 116686843889760. Its totient is φ = 87513610301568.

The previous prime is 102100100210993. The next prime is 102100100211013. The reversal of 102100100211011 is 110112001001201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102100100211011 - 2¹⁴ = 102100100194627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100100210983 and 102100100211001.

It is not an unprimeable number, because it can be changed into a prime (102100100211013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62579396 + ... + 64190193.

It is an arithmetic number, because the mean of its divisors is an integer number (14585855486220).

Almost surely, 2^{102100100211011} is an apocalyptic number.

102100100211011 is a deficient number, since it is larger than the sum of its proper divisors (14586743678749).

102100100211011 is a wasteful number, since it uses less digits than its factorization.

102100100211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126884653.

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

Adding to 102100100211011 its reverse (110112001001201), we get a palindrome (212212101212212).

The spelling of 102100100211011 in words is "one hundred two trillion, one hundred billion, one hundred million, two hundred eleven thousand, eleven".