101021121020120 has 32 divisors (see below), whose sum is σ = 259768596909600. Its totient is φ = 34635812921088.

The previous prime is 101021121020117. The next prime is 101021121020291. The reversal of 101021121020120 is 21020121120101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 101021121020095 and 101021121020104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180394858685 + ... + 180394859244.

It is an arithmetic number, because the mean of its divisors is an integer number (8117768653425).

Almost surely, 2^{101021121020120} is an apocalyptic number.

101021121020120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021121020120 is an abundant number, since it is smaller than the sum of its proper divisors (158747475889480).

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

101021121020120 is a wasteful number, since it uses less digits than its factorization.

101021121020120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360789717947 (or 360789717943 counting only the distinct ones).

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

Adding to 101021121020120 its reverse (21020121120101), we get a palindrome (122041242140221).

The spelling of 101021121020120 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-one million, twenty thousand, one hundred twenty".