101101002001021 has 16 divisors (see below), whose sum is σ = 113532722569728. Its totient is φ = 89234999607600.

The previous prime is 101101002000923. The next prime is 101101002001081. The reversal of 101101002001021 is 120100200101101.

It is not a de Polignac number, because 101101002001021 - 2¹⁹ = 101101001476733 is a prime.

It is a super-2 number, since 2×101101002001021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101101002000989 and 101101002001007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101002001081) 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 15 ways as a sum of consecutive naturals, for example, 639873675 + ... + 640031656.

It is an arithmetic number, because the mean of its divisors is an integer number (7095795160608).

Almost surely, 2^{101101002001021} is an apocalyptic number.

101101002001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101101002001021 is a deficient number, since it is larger than the sum of its proper divisors (12431720568707).

101101002001021 is a wasteful number, since it uses less digits than its factorization.

101101002001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1279905552.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101101002001021 its reverse (120100200101101), we get a palindrome (221201202102122).

It can be divided in two parts, 10110100 and 2001021, that added together give a palindrome (12111121).

The spelling of 101101002001021 in words is "one hundred one trillion, one hundred one billion, two million, one thousand, twenty-one".