100021200201001 has 16 divisors (see below), whose sum is σ = 100412007193600. Its totient is φ = 99630955670400.

The previous prime is 100021200200993. The next prime is 100021200201049. The reversal of 100021200201001 is 100102002120001.

It is a cyclic number.

It is not a de Polignac number, because 100021200201001 - 2³ = 100021200200993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100021200201701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2769961735 + ... + 2769997843.

It is an arithmetic number, because the mean of its divisors is an integer number (6275750449600).

Almost surely, 2^{100021200201001} is an apocalyptic number.

It is an amenable number.

100021200201001 is a deficient number, since it is larger than the sum of its proper divisors (390806992599).

100021200201001 is a wasteful number, since it uses less digits than its factorization.

100021200201001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43600.

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

Adding to 100021200201001 its reverse (100102002120001), we get a palindrome (200123202321002).

The spelling of 100021200201001 in words is "one hundred trillion, twenty-one billion, two hundred million, two hundred one thousand, one".