101011001010010 has 128 divisors (see below), whose sum is σ = 224765114112000. Its totient is φ = 31827391948800.

The previous prime is 101011001009909. The next prime is 101011001010013. The reversal of 101011001010010 is 10010100110101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 101011001009975 and 101011001010002.

It is not an unprimeable number, because it can be changed into a prime (101011001010013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1011061060 + ... + 1011160960.

It is an arithmetic number, because the mean of its divisors is an integer number (1755977454000).

Almost surely, 2^{101011001010010} is an apocalyptic number.

101011001010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101011001010010 is an abundant number, since it is smaller than the sum of its proper divisors (123754113101990).

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

101011001010010 is a wasteful number, since it uses less digits than its factorization.

101011001010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104816.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101011001010010 its reverse (10010100110101), we get a palindrome (111021101120111).

The spelling of 101011001010010 in words is "one hundred one trillion, eleven billion, one million, ten thousand, ten".