101102101132010 has 192 divisors, whose sum is σ = 213903042948000. Its totient is φ = 34259429867520.

The previous prime is 101102101131973. The next prime is 101102101132013. The reversal of 101102101132010 is 10231101201101.

It can be written as a sum of positive squares in 16 ways, for example, as 553972069849 + 100548129062161 = 744293^2 + 10027369^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101102101132013) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 959270396 + ... + 959375784.

Almost surely, 2^{101102101132010} is an apocalyptic number.

101102101132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102101132010 is an abundant number, since it is smaller than the sum of its proper divisors (112800941815990).

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

101102101132010 is a wasteful number, since it uses less digits than its factorization.

101102101132010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105897 (or 105886 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 101102101132010 its reverse (10231101201101), we get a palindrome (111333202333111).

The spelling of 101102101132010 in words is "one hundred one trillion, one hundred two billion, one hundred one million, one hundred thirty-two thousand, ten".