102011101000 has 64 divisors (see below), whose sum is σ = 252747546480. Its totient is φ = 38404172800.

The previous prime is 102011100977. The next prime is 102011101019. The reversal of 102011101000 is 101110201.

It can be written as a sum of positive squares in 8 ways, for example, as 27609810244 + 74401290756 = 166162^2 + 272766^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2983327 + ... + 3017326.

Almost surely, 2^102011101000 is an apocalyptic number.

102011101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011101000 is an abundant number, since it is smaller than the sum of its proper divisors (150736445480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102011101000 is a wasteful number, since it uses less digits than its factorization.

102011101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6000691 (or 6000677 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 102011101000 its reverse (101110201), we get a palindrome (102112211201).

The spelling of 102011101000 in words is "one hundred two billion, eleven million, one hundred one thousand".