101002111222100 has 36 divisors (see below), whose sum is σ = 239099543295648. Its totient is φ = 36728040444000.

The previous prime is 101002111222043. The next prime is 101002111222109. The reversal of 101002111222100 is 1222111200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002111222109) 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 11 ways as a sum of consecutive naturals, for example, 45910049456 + ... + 45910051655.

Almost surely, 2^{101002111222100} is an apocalyptic number.

101002111222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002111222100 is an abundant number, since it is smaller than the sum of its proper divisors (138097432073548).

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

101002111222100 is a wasteful number, since it uses less digits than its factorization.

101002111222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91820101136 (or 91820101129 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002111222100 its reverse (1222111200101), we get a palindrome (102224222422201).

It can be divided in two parts, 10100211 and 1222100, that added together give a palindrome (11322311).

The spelling of 101002111222100 in words is "one hundred one trillion, two billion, one hundred eleven million, two hundred twenty-two thousand, one hundred".