101011102310100 has 72 divisors (see below), whose sum is σ = 292295946146848. Its totient is φ = 26932869360000.

The previous prime is 101011102310051. The next prime is 101011102310141. The reversal of 101011102310100 is 1013201110101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19039651 + ... + 23759850.

Almost surely, 2^{101011102310100} is an apocalyptic number.

101011102310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011102310100 is an abundant number, since it is smaller than the sum of its proper divisors (191284843836748).

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

101011102310100 is a wasteful number, since it uses less digits than its factorization.

101011102310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42807385 (or 42807378 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101011102310100 its reverse (1013201110101), we get a palindrome (102024303420201).

The spelling of 101011102310100 in words is "one hundred one trillion, eleven billion, one hundred two million, three hundred ten thousand, one hundred".