101011102010 has 256 divisors, whose sum is σ = 250326236160. Its totient is φ = 28400025600.

The previous prime is 101011101949. The next prime is 101011102013. The reversal of 101011102010 is 10201110101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101011102013) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 117865502 + ... + 117866358.

It is an arithmetic number, because the mean of its divisors is an integer number (977836860).

Almost surely, 2^101011102010 is an apocalyptic number.

101011102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011102010 is an abundant number, since it is smaller than the sum of its proper divisors (149315134150).

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

101011102010 is a wasteful number, since it uses less digits than its factorization.

101011102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101011102010 its reverse (10201110101), we get a palindrome (111212212111).

It can be divided in two parts, 10101 and 1102010, that added together give a palindrome (1112111).

The spelling of 101011102010 in words is "one hundred one billion, eleven million, one hundred two thousand, ten".