102100022101 has 32 divisors (see below), whose sum is σ = 135215308800. Its totient is φ = 74637484800.

The previous prime is 102100022099. The next prime is 102100022107. The reversal of 102100022101 is 101220001201.

It is a cyclic number.

It is not a de Polignac number, because 102100022101 - 2¹ = 102100022099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102100022107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 281700 + ... + 532498.

It is an arithmetic number, because the mean of its divisors is an integer number (4225478400).

Almost surely, 2^102100022101 is an apocalyptic number.

102100022101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102100022101 is a deficient number, since it is larger than the sum of its proper divisors (33115286699).

102100022101 is a wasteful number, since it uses less digits than its factorization.

102100022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251145.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100022101 its reverse (101220001201), we get a palindrome (203320023302).

The spelling of 102100022101 in words is "one hundred two billion, one hundred million, twenty-two thousand, one hundred one".