101001001022010 has 64 divisors (see below), whose sum is σ = 278623451116800. Its totient is φ = 26004855433536.

The previous prime is 101001001021957. The next prime is 101001001022027. The reversal of 101001001022010 is 10220100100101.

It is a happy number.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101001001021983 and 101001001022001.

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 31 ways as a sum of consecutive naturals, for example, 6449609094 + ... + 6449624753.

It is an arithmetic number, because the mean of its divisors is an integer number (4353491423700).

Almost surely, 2^{101001001022010} is an apocalyptic number.

101001001022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101001001022010 is an abundant number, since it is smaller than the sum of its proper divisors (177622450094790).

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

101001001022010 is a wasteful number, since it uses less digits than its factorization.

101001001022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12899233892 (or 12899233886 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001001022010 its reverse (10220100100101), we get a palindrome (111221101122111).

The spelling of 101001001022010 in words is "one hundred one trillion, one billion, one million, twenty-two thousand, ten".