100210101212001 has 32 divisors (see below), whose sum is σ = 146682129484800. Its totient is φ = 60350025067200.

The previous prime is 100210101211993. The next prime is 100210101212131. The reversal of 100210101212001 is 100212101012001.

It is not a de Polignac number, because 100210101212001 - 2³ = 100210101211993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100210101219001) 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, 4794115 + ... + 14946696.

It is an arithmetic number, because the mean of its divisors is an integer number (4583816546400).

Almost surely, 2^{100210101212001} is an apocalyptic number.

100210101212001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210101212001 is a deficient number, since it is larger than the sum of its proper divisors (46472028272799).

100210101212001 is a wasteful number, since it uses less digits than its factorization.

100210101212001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19741797.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100210101212001 its reverse (100212101012001), we get a palindrome (200422202224002).

The spelling of 100210101212001 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two hundred twelve thousand, one".