101000021200001 has 32 divisors (see below), whose sum is σ = 129764141164800. Its totient is φ = 77922093984000.

The previous prime is 101000021199997. The next prime is 101000021200049. The reversal of 101000021200001 is 100002120000101.

It is not a de Polignac number, because 101000021200001 - 2² = 101000021199997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101000021220001) 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, 132139496 + ... + 132901641.

It is an arithmetic number, because the mean of its divisors is an integer number (4055129411400).

Almost surely, 2^{101000021200001} is an apocalyptic number.

101000021200001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000021200001 is a deficient number, since it is larger than the sum of its proper divisors (28764119964799).

101000021200001 is a wasteful number, since it uses less digits than its factorization.

101000021200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265041270 (or 265041256 counting only the distinct ones).

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

Adding to 101000021200001 its reverse (100002120000101), we get a palindrome (201002141200102).

The spelling of 101000021200001 in words is "one hundred one trillion, twenty-one million, two hundred thousand, one".