102213001011 has 64 divisors (see below), whose sum is σ = 156000817152. Its totient is φ = 58968000000.

The previous prime is 102213000977. The next prime is 102213001067. The reversal of 102213001011 is 110100312201.

It is not a de Polignac number, because 102213001011 - 2¹⁵ = 102212968243 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102213002011) 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 63 ways as a sum of consecutive naturals, for example, 16218561 + ... + 16224861.

It is an arithmetic number, because the mean of its divisors is an integer number (2437512768).

Almost surely, 2^102213001011 is an apocalyptic number.

102213001011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102213001011 is a deficient number, since it is larger than the sum of its proper divisors (53787816141).

102213001011 is a wasteful number, since it uses less digits than its factorization.

102213001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 102213001011 its reverse (110100312201), we get a palindrome (212313313212).

The spelling of 102213001011 in words is "one hundred two billion, two hundred thirteen million, one thousand, eleven".