102121000011 has 24 divisors (see below), whose sum is σ = 151951628400. Its totient is φ = 66051066816.

The previous prime is 102120999989. The next prime is 102121000019. The reversal of 102121000011 is 110000121201.

It is a happy number.

It is not a de Polignac number, because 102121000011 - 2⁶ = 102120999947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102120999957 and 102121000002.

It is not an unprimeable number, because it can be changed into a prime (102121000019) 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, 827836 + ... + 943161.

It is an arithmetic number, because the mean of its divisors is an integer number (6331317850).

Almost surely, 2^102121000011 is an apocalyptic number.

102121000011 is a deficient number, since it is larger than the sum of its proper divisors (49830628389).

102121000011 is a wasteful number, since it uses less digits than its factorization.

102121000011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771195 (or 1771192 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102121000011 its reverse (110000121201), we get a palindrome (212121121212).

The spelling of 102121000011 in words is "one hundred two billion, one hundred twenty-one million, eleven", and thus it is an aban number.