102100131223211 has 32 divisors (see below), whose sum is σ = 112478258382336. Its totient is φ = 91907902944000.

The previous prime is 102100131223187. The next prime is 102100131223229. The reversal of 102100131223211 is 112322131001201.

It is a de Polignac number, because none of the positive numbers 2^k-102100131223211 is a prime.

It is a super-2 number, since 2×102100131223211² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102100131223261) 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 31 ways as a sum of consecutive naturals, for example, 4549702751 + ... + 4549725191.

It is an arithmetic number, because the mean of its divisors is an integer number (3514945574448).

Almost surely, 2^{102100131223211} is an apocalyptic number.

102100131223211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102100131223211 is a deficient number, since it is larger than the sum of its proper divisors (10378127159125).

102100131223211 is a wasteful number, since it uses less digits than its factorization.

102100131223211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29363.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102100131223211 its reverse (112322131001201), we get a palindrome (214422262224412).

The spelling of 102100131223211 in words is "one hundred two trillion, one hundred billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred eleven".