102210100102011 has 24 divisors (see below), whose sum is σ = 149799484219392. Its totient is φ = 61943875298800.

The previous prime is 102210100101979. The next prime is 102210100102031. The reversal of 102210100102011 is 110201001012201.

It is not a de Polignac number, because 102210100102011 - 2⁵ = 102210100101979 is a prime.

It is a super-3 number, since 3×102210100102011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102210100102031) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10073926 + ... + 17490116.

It is an arithmetic number, because the mean of its divisors is an integer number (6241645175808).

Almost surely, 2^{102210100102011} is an apocalyptic number.

102210100102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102210100102011 is a deficient number, since it is larger than the sum of its proper divisors (47589384117381).

102210100102011 is a wasteful number, since it uses less digits than its factorization.

102210100102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7454183 (or 7454172 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102210100102011 its reverse (110201001012201), we get a palindrome (212411101114212).

The spelling of 102210100102011 in words is "one hundred two trillion, two hundred ten billion, one hundred million, one hundred two thousand, eleven".