101002102220112 has 40 divisors (see below), whose sum is σ = 274654839372960. Its totient is φ = 31895400700800.

The previous prime is 101002102220101. The next prime is 101002102220137. The reversal of 101002102220112 is 211022201200101.

It is a super-3 number, since 3×101002102220112³ (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002102220091 and 101002102220100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 55373958639 + ... + 55373960462.

It is an arithmetic number, because the mean of its divisors is an integer number (6866370984324).

Almost surely, 2^{101002102220112} is an apocalyptic number.

101002102220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101002102220112 is an abundant number, since it is smaller than the sum of its proper divisors (173652737152848).

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

101002102220112 is a wasteful number, since it uses less digits than its factorization.

101002102220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110747919131 (or 110747919125 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002102220112 its reverse (211022201200101), we get a palindrome (312024303420213).

The spelling of 101002102220112 in words is "one hundred one trillion, two billion, one hundred two million, two hundred twenty thousand, one hundred twelve".