102021100000211 has 16 divisors (see below), whose sum is σ = 123690154189824. Its totient is φ = 82145369476224.

The previous prime is 102021100000201. The next prime is 102021100000213. The reversal of 102021100000211 is 112000001120201.

It is a cyclic number.

It is not a de Polignac number, because 102021100000211 - 2¹⁴ = 102021099983827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102021100000192 and 102021100000201.

It is not an unprimeable number, because it can be changed into a prime (102021100000213) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819555515 + ... + 819679988.

It is an arithmetic number, because the mean of its divisors is an integer number (7730634636864).

Almost surely, 2^{102021100000211} is an apocalyptic number.

102021100000211 is a deficient number, since it is larger than the sum of its proper divisors (21669054189613).

102021100000211 is a wasteful number, since it uses less digits than its factorization.

102021100000211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639236050.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102021100000211 its reverse (112000001120201), we get a palindrome (214021101120412).

The spelling of 102021100000211 in words is "one hundred two trillion, twenty-one billion, one hundred million, two hundred eleven", and thus it is an aban number.