101111020010 has 128 divisors (see below), whose sum is σ = 250047350784. Its totient is φ = 28414229760.

The previous prime is 101111019973. The next prime is 101111020019. The reversal of 101111020010 is 10020111101.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101111020010.

It is not an unprimeable number, because it can be changed into a prime (101111020019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 312977 + ... + 547883.

It is an arithmetic number, because the mean of its divisors is an integer number (1953494928).

Almost surely, 2^101111020010 is an apocalyptic number.

101111020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101111020010 is an abundant number, since it is smaller than the sum of its proper divisors (148936330774).

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

101111020010 is a wasteful number, since it uses less digits than its factorization.

101111020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234988.

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

Adding to 101111020010 its reverse (10020111101), we get a palindrome (111131131111).

It can be divided in two parts, 101 and 111020010, that added together give a palindrome (111020111).

The spelling of 101111020010 in words is "one hundred one billion, one hundred eleven million, twenty thousand, ten".