102101120001211 has 16 divisors (see below), whose sum is σ = 102789577044000. Its totient is φ = 101415037828608.

The previous prime is 102101120001203. The next prime is 102101120001241. The reversal of 102101120001211 is 112100021101201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102101120001211 - 2³ = 102101120001203 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101120001191 and 102101120001200.

It is not an unprimeable number, because it can be changed into a prime (102101120001241) 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, 661126675 + ... + 661281091.

It is an arithmetic number, because the mean of its divisors is an integer number (6424348565250).

Almost surely, 2^{102101120001211} is an apocalyptic number.

102101120001211 is a deficient number, since it is larger than the sum of its proper divisors (688457042789).

102101120001211 is a wasteful number, since it uses less digits than its factorization.

102101120001211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162078.

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

Adding to 102101120001211 its reverse (112100021101201), we get a palindrome (214201141102412).

The spelling of 102101120001211 in words is "one hundred two trillion, one hundred one billion, one hundred twenty million, one thousand, two hundred eleven".