102122000211 has 128 divisors (see below), whose sum is σ = 184068218880. Its totient is φ = 48742041600.

The previous prime is 102122000209. The next prime is 102122000249. The reversal of 102122000211 is 112000221201.

It is not a de Polignac number, because 102122000211 - 2¹ = 102122000209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102122000251) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33295500 + ... + 33298566.

It is an arithmetic number, because the mean of its divisors is an integer number (1438032960).

Almost surely, 2^102122000211 is an apocalyptic number.

102122000211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102122000211 is a deficient number, since it is larger than the sum of its proper divisors (81946218669).

102122000211 is a wasteful number, since it uses less digits than its factorization.

102122000211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 102122000211 its reverse (112000221201), we get a palindrome (214122221412).

The spelling of 102122000211 in words is "one hundred two billion, one hundred twenty-two million, two hundred eleven", and thus it is an aban number.