101011121021020 has 48 divisors (see below), whose sum is σ = 255185989954560. Its totient is φ = 32809627278144.

The previous prime is 101011121021003. The next prime is 101011121021053. The reversal of 101011121021020 is 20120121110101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18987050164 + ... + 18987055483.

It is an arithmetic number, because the mean of its divisors is an integer number (5316374790720).

Almost surely, 2^{101011121021020} is an apocalyptic number.

101011121021020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121021020 is an abundant number, since it is smaller than the sum of its proper divisors (154174868933540).

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

101011121021020 is a wasteful number, since it uses less digits than its factorization.

101011121021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37974105682 (or 37974105680 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101011121021020 its reverse (20120121110101), we get a palindrome (121131242131121).

The spelling of 101011121021020 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, twenty-one thousand, twenty".