1022100102001 has 24 divisors (see below), whose sum is σ = 1153045968480. Its totient is φ = 905028463680.

The previous prime is 1022100101993. The next prime is 1022100102017. The reversal of 1022100102001 is 1002010012201.

It is not a de Polignac number, because 1022100102001 - 2³ = 1022100101993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022100102041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13230 + ... + 1429816.

It is an arithmetic number, because the mean of its divisors is an integer number (48043582020).

Almost surely, 2^{1022100102001} is an apocalyptic number.

1022100102001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022100102001 is a deficient number, since it is larger than the sum of its proper divisors (130945866479).

1022100102001 is a wasteful number, since it uses less digits than its factorization.

1022100102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416765 (or 1416754 counting only the distinct ones).

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

Adding to 1022100102001 its reverse (1002010012201), we get a palindrome (2024110114202).

The spelling of 1022100102001 in words is "one trillion, twenty-two billion, one hundred million, one hundred two thousand, one".