10101112121000 has 32 divisors (see below), whose sum is σ = 23636602365480. Its totient is φ = 4040444848000.

The previous prime is 10101112120961. The next prime is 10101112121021. The reversal of 10101112121000 is 12121110101.

10101112121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1444818424036 + 8656293696964 = 1202006^2 + 2942158^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5050555061 + ... + 5050557060.

Almost surely, 2^{10101112121000} is an apocalyptic number.

10101112121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101112121000 is an abundant number, since it is smaller than the sum of its proper divisors (13535490244480).

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

10101112121000 is a wasteful number, since it uses less digits than its factorization.

10101112121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10101112142 (or 10101112128 counting only the distinct ones).

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

Adding to 10101112121000 its reverse (12121110101), we get a palindrome (10113233231101).

The spelling of 10101112121000 in words is "ten trillion, one hundred one billion, one hundred twelve million, one hundred twenty-one thousand".