101121010121000 has 192 divisors, whose sum is σ = 251741687886000. Its totient is φ = 38011421184000.

The previous prime is 101121010120997. The next prime is 101121010121003. The reversal of 101121010121000 is 121010121101.

It is an interprime number because it is at equal distance from previous prime (101121010120997) and next prime (101121010121003).

It can be written as a sum of positive squares in 24 ways, for example, as 21927136100164 + 79193874020836 = 4682642^2 + 8899094^2 .

It is not an unprimeable number, because it can be changed into a prime (101121010121003) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 190764326 + ... + 191293674.

Almost surely, 2^{101121010121000} is an apocalyptic number.

101121010121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101121010121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125870843943000).

101121010121000 is an abundant number, since it is smaller than the sum of its proper divisors (150620677765000).

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

101121010121000 is a wasteful number, since it uses less digits than its factorization.

101121010121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530065 (or 530034 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101121010121000 its reverse (121010121101), we get a palindrome (101242020242101).

The spelling of 101121010121000 in words is "one hundred one trillion, one hundred twenty-one billion, ten million, one hundred twenty-one thousand".