101001001100021 has 16 divisors (see below), whose sum is σ = 117285179515200. Its totient is φ = 86009131612800.

The previous prime is 101001001099969. The next prime is 101001001100029. The reversal of 101001001100021 is 120001100100101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101001001100021 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101001001099981 and 101001001100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001001100029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2714916110 + ... + 2714953311.

It is an arithmetic number, because the mean of its divisors is an integer number (7330323719700).

Almost surely, 2^{101001001100021} is an apocalyptic number.

101001001100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101001001100021 is a deficient number, since it is larger than the sum of its proper divisors (16284178415179).

101001001100021 is a wasteful number, since it uses less digits than its factorization.

101001001100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5429869540.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001001100021 its reverse (120001100100101), we get a palindrome (221002101200122).

The spelling of 101001001100021 in words is "one hundred one trillion, one billion, one million, one hundred thousand, twenty-one".