102100002220021 has 8 divisors (see below), whose sum is σ = 109960896634904. Its totient is φ = 94240114675200.

The previous prime is 102100002220019. The next prime is 102100002220079. The reversal of 102100002220021 is 120022200001201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 27541094657521 + 74558907562500 = 5247961^2 + 8634750^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 102100002220021 - 2¹ = 102100002220019 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102100002219983 and 102100002220010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100002220081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 251506896 + ... + 251912521.

It is an arithmetic number, because the mean of its divisors is an integer number (13745112079363).

Almost surely, 2^{102100002220021} is an apocalyptic number.

It is an amenable number.

102100002220021 is a deficient number, since it is larger than the sum of its proper divisors (7860894414883).

102100002220021 is a wasteful number, since it uses less digits than its factorization.

102100002220021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503435031.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102100002220021 its reverse (120022200001201), we get a palindrome (222122202221222).

The spelling of 102100002220021 in words is "one hundred two trillion, one hundred billion, two million, two hundred twenty thousand, twenty-one".