101111021002021 has 16 divisors (see below), whose sum is σ = 102505354848000. Its totient is φ = 99725104208128.

The previous prime is 101111021001973. The next prime is 101111021002037. The reversal of 101111021002021 is 120200120111101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 101111021002021 - 2¹¹ = 101111020999973 is a prime.

It is a super-2 number, since 2×101111021002021² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111021001992 and 101111021002010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111021002081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229369380 + ... + 229809778.

It is an arithmetic number, because the mean of its divisors is an integer number (6406584678000).

Almost surely, 2^{101111021002021} is an apocalyptic number.

It is an amenable number.

101111021002021 is a deficient number, since it is larger than the sum of its proper divisors (1394333845979).

101111021002021 is a wasteful number, since it uses less digits than its factorization.

101111021002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449948.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101111021002021 its reverse (120200120111101), we get a palindrome (221311141113122).

The spelling of 101111021002021 in words is "one hundred one trillion, one hundred eleven billion, twenty-one million, two thousand, twenty-one".