1022100101 has 8 divisors (see below), whose sum is σ = 1150987008. Its totient is φ = 899208000.

The previous prime is 1022100049. The next prime is 1022100109. The reversal of 1022100101 is 1010012201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1022100101 - 2²⁶ = 954991237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022100109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1498340 + ... + 1499021.

It is an arithmetic number, because the mean of its divisors is an integer number (143873376).

Almost surely, 2^1022100101 is an apocalyptic number.

1022100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1022100101 is a deficient number, since it is larger than the sum of its proper divisors (128886907).

1022100101 is a wasteful number, since it uses less digits than its factorization.

1022100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2997403.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1022100101 is about 31970.3002957432. The cubic root of 1022100101 is about 1007.3130886960.

Adding to 1022100101 its reverse (1010012201), we get a palindrome (2032112302).

It can be divided in two parts, 1022100 and 101, that added together give a palindrome (1022201).

The spelling of 1022100101 in words is "one billion, twenty-two million, one hundred thousand, one hundred one".