101010100101012 has 144 divisors (see below), whose sum is σ = 278753662387200. Its totient is φ = 31894530904800.

The previous prime is 101010100101011. The next prime is 101010100101041. The reversal of 101010100101012 is 210101001010101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101010100100985 and 101010100101003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010100101011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176101539 + ... + 176674197.

Almost surely, 2^{101010100101012} is an apocalyptic number.

101010100101012 is a gapful number since it is divisible by the number (12) 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 101010100101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139376831193600).

101010100101012 is an abundant number, since it is smaller than the sum of its proper divisors (177743562286188).

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

101010100101012 is a wasteful number, since it uses less digits than its factorization.

101010100101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582248 (or 582234 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101010100101012 its reverse (210101001010101), we get a palindrome (311111101111113).

The spelling of 101010100101012 in words is "one hundred one trillion, ten billion, one hundred million, one hundred one thousand, twelve".