100101021020001 has 48 divisors (see below), whose sum is σ = 154096675544448. Its totient is φ = 64897007932800.

The previous prime is 100101021019997. The next prime is 100101021020041. The reversal of 100101021020001 is 100020120101001.

It is a happy number.

It is not a de Polignac number, because 100101021020001 - 2² = 100101021019997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100101021020041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13054686 + ... + 19251671.

It is an arithmetic number, because the mean of its divisors is an integer number (3210347407176).

Almost surely, 2^{100101021020001} is an apocalyptic number.

It is an amenable number.

100101021020001 is a deficient number, since it is larger than the sum of its proper divisors (53995654524447).

100101021020001 is an equidigital number, since it uses as much as digits as its factorization.

100101021020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32306724 (or 32306712 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101021020001 its reverse (100020120101001), we get a palindrome (200121141121002).

The spelling of 100101021020001 in words is "one hundred trillion, one hundred one billion, twenty-one million, twenty thousand, one".