101102210210001 has 72 divisors (see below), whose sum is σ = 185621858712192. Its totient is φ = 48480580209600.

The previous prime is 101102210209937. The next prime is 101102210210017. The reversal of 101102210210001 is 100012012201101.

It is not a de Polignac number, because 101102210210001 - 2⁶ = 101102210209937 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (101102210210021) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 218386105 + ... + 218848566.

Almost surely, 2^{101102210210001} is an apocalyptic number.

101102210210001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101102210210001 is a deficient number, since it is larger than the sum of its proper divisors (84519648502191).

101102210210001 is a wasteful number, since it uses less digits than its factorization.

101102210210001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437234723 (or 437234705 counting only the distinct ones).

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

Adding to 101102210210001 its reverse (100012012201101), we get a palindrome (201114222411102).

The spelling of 101102210210001 in words is "one hundred one trillion, one hundred two billion, two hundred ten million, two hundred ten thousand, one".