101010111121000 has 128 divisors (see below), whose sum is σ = 240290736435360. Its totient is φ = 39733037568000.

The previous prime is 101010111120967. The next prime is 101010111121001. The reversal of 101010111121000 is 121111010101.

101010111121000 is digitally balanced in base 3, 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 16 ways, for example, as 73544105517796 + 27466005603204 = 8575786^2 + 5240802^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101010111121001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283899214 + ... + 284254786.

Almost surely, 2^{101010111121000} is an apocalyptic number.

101010111121000 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 101010111121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120145368217680).

101010111121000 is an abundant number, since it is smaller than the sum of its proper divisors (139280625314360).

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

101010111121000 is a wasteful number, since it uses less digits than its factorization.

101010111121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360312 (or 360298 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101010111121000 its reverse (121111010101), we get a palindrome (101131222131101).

The spelling of 101010111121000 in words is "one hundred one trillion, ten billion, one hundred eleven million, one hundred twenty-one thousand".