101000121012120 has 128 divisors (see below), whose sum is σ = 331180297850880. Its totient is φ = 24437881728000.

The previous prime is 101000121012097. The next prime is 101000121012121. The reversal of 101000121012120 is 21210121000101.

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 = 101000121012096 and 101000121012105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000121012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 72743416 + ... + 74118855.

It is an arithmetic number, because the mean of its divisors is an integer number (2587346076960).

Almost surely, 2^{101000121012120} is an apocalyptic number.

101000121012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000121012120 is an abundant number, since it is smaller than the sum of its proper divisors (230180176838760).

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

101000121012120 is a wasteful number, since it uses less digits than its factorization.

101000121012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146862817 (or 146862813 counting only the distinct ones).

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

Adding to 101000121012120 its reverse (21210121000101), we get a palindrome (122210242012221).

The spelling of 101000121012120 in words is "one hundred one trillion, one hundred twenty-one million, twelve thousand, one hundred twenty".