102011123203011 has 72 divisors (see below), whose sum is σ = 172039774832640. Its totient is φ = 57746035015200.

The previous prime is 102011123203009. The next prime is 102011123203013. The reversal of 102011123203011 is 110302321110201.

102011123203011 is a `hidden beast` number, since 1 + 0 + 20 + 11 + 12 + 320 + 301 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (102011123203009) and next prime (102011123203013).

It is not a de Polignac number, because 102011123203011 - 2¹ = 102011123203009 is a prime.

It is a super-2 number, since 2×102011123203011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102011123203013) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17563491 + ... + 22638428.

It is an arithmetic number, because the mean of its divisors is an integer number (2389441317120).

Almost surely, 2^{102011123203011} is an apocalyptic number.

102011123203011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102011123203011 is a deficient number, since it is larger than the sum of its proper divisors (70028651629629).

102011123203011 is a wasteful number, since it uses less digits than its factorization.

102011123203011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40202045 (or 40202023 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102011123203011 its reverse (110302321110201), we get a palindrome (212313444313212).

The spelling of 102011123203011 in words is "one hundred two trillion, eleven billion, one hundred twenty-three million, two hundred three thousand, eleven".