102021211110001 has 8 divisors (see below), whose sum is σ = 109236194316360. Its totient is φ = 94941087403008.

The previous prime is 102021211109959. The next prime is 102021211110041. The reversal of 102021211110001 is 100011112120201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10013807091600 + 92007404018401 = 3164460^2 + 9592049^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102021211110001 - 2²⁹ = 102020674239089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102021211110041) 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, 33714873276 + ... + 33714876301.

It is an arithmetic number, because the mean of its divisors is an integer number (13654524289545).

Almost surely, 2^{102021211110001} is an apocalyptic number.

It is an amenable number.

102021211110001 is a deficient number, since it is larger than the sum of its proper divisors (7214983206359).

102021211110001 is an equidigital number, since it uses as much as digits as its factorization.

102021211110001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67429749683.

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

Adding to 102021211110001 its reverse (100011112120201), we get a palindrome (202032323230202).

The spelling of 102021211110001 in words is "one hundred two trillion, twenty-one billion, two hundred eleven million, one hundred ten thousand, one".