101020011000021 has 6 divisors (see below), whose sum is σ = 145917793666710. Its totient is φ = 67346674000008.

The previous prime is 101020011000001. The next prime is 101020011000031. The reversal of 101020011000021 is 120000110020101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 95378369454225 + 5641641545796 = 9766185^2 + 2375214^2 .

It is not a de Polignac number, because 101020011000021 - 2¹¹ = 101020010997973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11224445666669 = 101020011000021 / (1 + 0 + 1 + 0 + 2 + 0 + 0 + 1 + 1 + 0 + 0 + 0 + 0 + 2 + 1).

It is a junction number, because it is equal to n+sod(n) for n = 101020010999967 and 101020011000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020011000001) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612222833326 + ... + 5612222833343.

It is an arithmetic number, because the mean of its divisors is an integer number (24319632277785).

Almost surely, 2^{101020011000021} is an apocalyptic number.

It is an amenable number.

101020011000021 is a deficient number, since it is larger than the sum of its proper divisors (44897782666689).

101020011000021 is a wasteful number, since it uses less digits than its factorization.

101020011000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224445666675 (or 11224445666672 counting only the distinct ones).

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

Adding to 101020011000021 its reverse (120000110020101), we get a palindrome (221020121020122).

The spelling of 101020011000021 in words is "one hundred one trillion, twenty billion, eleven million, twenty-one", and thus it is an aban number.