101200211010021 has 32 divisors (see below), whose sum is σ = 135867637301760. Its totient is φ = 67000704422400.

The previous prime is 101200211010007. The next prime is 101200211010061. The reversal of 101200211010021 is 120010112002101.

It is not a de Polignac number, because 101200211010021 - 2¹⁹ = 101200210485733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101200211009979 and 101200211010006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200211010061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077188791 + ... + 4077213611.

It is an arithmetic number, because the mean of its divisors is an integer number (4245863665680).

Almost surely, 2^{101200211010021} is an apocalyptic number.

It is an amenable number.

101200211010021 is a deficient number, since it is larger than the sum of its proper divisors (34667426291739).

101200211010021 is a wasteful number, since it uses less digits than its factorization.

101200211010021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33597.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101200211010021 its reverse (120010112002101), we get a palindrome (221210323012122).

The spelling of 101200211010021 in words is "one hundred one trillion, two hundred billion, two hundred eleven million, ten thousand, twenty-one".