102101022001 has 8 divisors (see below), whose sum is σ = 112908727584. Its totient is φ = 91547615520.

The previous prime is 102101021947. The next prime is 102101022047. The reversal of 102101022001 is 100220101201.

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 102101022001 - 2⁹ = 102101021489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102101022061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63573931 + ... + 63575536.

It is an arithmetic number, because the mean of its divisors is an integer number (14113590948).

Almost surely, 2^102101022001 is an apocalyptic number.

102101022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102101022001 is a deficient number, since it is larger than the sum of its proper divisors (10807705583).

102101022001 is a wasteful number, since it uses less digits than its factorization.

102101022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127149551.

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

Adding to 102101022001 its reverse (100220101201), we get a palindrome (202321123202).

The spelling of 102101022001 in words is "one hundred two billion, one hundred one million, twenty-two thousand, one".