101101121121020 has 12 divisors (see below), whose sum is σ = 212312354354184. Its totient is φ = 40440448448400.

The previous prime is 101101121120977. The next prime is 101101121121109. The reversal of 101101121121020 is 20121121101101.

It is a junction number, because it is equal to n+sod(n) for n = 101101121120986 and 101101121121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2527528028006 + ... + 2527528028045.

It is an arithmetic number, because the mean of its divisors is an integer number (17692696196182).

Almost surely, 2^{101101121121020} is an apocalyptic number.

101101121121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101121121020 is an abundant number, since it is smaller than the sum of its proper divisors (111211233233164).

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

101101121121020 is a wasteful number, since it uses less digits than its factorization.

101101121121020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055056056060 (or 5055056056058 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101101121121020 its reverse (20121121101101), we get a palindrome (121222242222121).

It can be divided in two parts, 101101 and 121121020, that added together give a palindrome (121222121).

The spelling of 101101121121020 in words is "one hundred one trillion, one hundred one billion, one hundred twenty-one million, one hundred twenty-one thousand, twenty".