21000011020101 has 96 divisors (see below), whose sum is σ = 31180768819200. Its totient is φ = 13616017781760.

The previous prime is 21000011020099. The next prime is 21000011020127. The reversal of 21000011020101 is 10102011000012.

It is a happy number.

It is not a de Polignac number, because 21000011020101 - 2¹ = 21000011020099 is a prime.

It is a super-3 number, since 3×21000011020101³ (a number of 41 digits) contains 333 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000011020141) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9379190940 + ... + 9379193178.

It is an arithmetic number, because the mean of its divisors is an integer number (324799675200).

Almost surely, 2^{21000011020101} is an apocalyptic number.

It is an amenable number.

21000011020101 is a deficient number, since it is larger than the sum of its proper divisors (10180757799099).

21000011020101 is a wasteful number, since it uses less digits than its factorization.

21000011020101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3131 (or 3128 counting only the distinct ones).

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

Adding to 21000011020101 its reverse (10102011000012), we get a palindrome (31102022020113).

The spelling of 21000011020101 in words is "twenty-one trillion, eleven million, twenty thousand, one hundred one".