101111012100010 has 256 divisors, whose sum is σ = 221739687751680. Its totient is φ = 32759603712000.

The previous prime is 101111012099969. The next prime is 101111012100017. The reversal of 101111012100010 is 10001210111101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101111012100010.

It is not an unprimeable number, because it can be changed into a prime (101111012100017) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 11122095565 + ... + 11122104655.

It is an arithmetic number, because the mean of its divisors is an integer number (866170655280).

Almost surely, 2^{101111012100010} is an apocalyptic number.

101111012100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111012100010 is an abundant number, since it is smaller than the sum of its proper divisors (120628675651670).

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

101111012100010 is a wasteful number, since it uses less digits than its factorization.

101111012100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13005.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111012100010 its reverse (10001210111101), we get a palindrome (111112222211111).

The spelling of 101111012100010 in words is "one hundred one trillion, one hundred eleven billion, twelve million, one hundred thousand, ten".