101101020110010 has 96 divisors (see below), whose sum is σ = 270831565714320. Its totient is φ = 26154378691584.

The previous prime is 101101020110003. The next prime is 101101020110047. The reversal of 101101020110010 is 10011020101101.

It can be written as a sum of positive squares in 8 ways, for example, as 18626051955681 + 82474968154329 = 4315791^2 + 9081573^2 .

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 = 101101020109974 and 101101020110001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 118649529 + ... + 119498588.

Almost surely, 2^{101101020110010} is an apocalyptic number.

101101020110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101020110010 is an abundant number, since it is smaller than the sum of its proper divisors (169730545604310).

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

101101020110010 is a wasteful number, since it uses less digits than its factorization.

101101020110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238148272 (or 238148269 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101020110010 its reverse (10011020101101), we get a palindrome (111112040211111).

The spelling of 101101020110010 in words is "one hundred one trillion, one hundred one billion, twenty million, one hundred ten thousand, ten".