101001102210120 has 256 divisors, whose sum is σ = 361975086144000. Its totient is φ = 22522893496320.

The previous prime is 101001102210103. The next prime is 101001102210167. The reversal of 101001102210120 is 21012201100101.

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

It is a junction number, because it is equal to n+sod(n) for n = 101001102210096 and 101001102210105.

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 63 ways as a sum of consecutive naturals, for example, 28237629 + ... + 31612748.

It is an arithmetic number, because the mean of its divisors is an integer number (1413965180250).

Almost surely, 2^{101001102210120} is an apocalyptic number.

101001102210120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001102210120 is an abundant number, since it is smaller than the sum of its proper divisors (260973983933880).

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

101001102210120 is a wasteful number, since it uses less digits than its factorization.

101001102210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59850453 (or 59850435 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101001102210120 its reverse (21012201100101), we get a palindrome (122013303310221).

The spelling of 101001102210120 in words is "one hundred one trillion, one billion, one hundred two million, two hundred ten thousand, one hundred twenty".