10101120121000 has 64 divisors (see below), whose sum is σ = 23637713682960. Its totient is φ = 4040261280000.

The previous prime is 10101120120913. The next prime is 10101120121013. The reversal of 10101120121000 is 12102110101.

It can be written as a sum of positive squares in 8 ways, for example, as 816070129956 + 9285049991044 = 903366^2 + 3047138^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 22518910 + ... + 22963090.

Almost surely, 2^{10101120121000} is an apocalyptic number.

10101120121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101120121000 is an abundant number, since it is smaller than the sum of its proper divisors (13536593561960).

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

10101120121000 is a wasteful number, since it uses less digits than its factorization.

10101120121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466943 (or 466929 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10101120121000 its reverse (12102110101), we get a palindrome (10113222231101).

The spelling of 10101120121000 in words is "ten trillion, one hundred one billion, one hundred twenty million, one hundred twenty-one thousand".