100212122011001 has 64 divisors (see below), whose sum is σ = 140405257875456. Its totient is φ = 68944401504000.

The previous prime is 100212122010997. The next prime is 100212122011013. The reversal of 100212122011001 is 100110221212001.

It is not a de Polignac number, because 100212122011001 - 2² = 100212122010997 is a prime.

It is a super-2 number, since 2×100212122011001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100212122011021) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 969239630 + ... + 969343016.

It is an arithmetic number, because the mean of its divisors is an integer number (2193832154304).

Almost surely, 2^{100212122011001} is an apocalyptic number.

100212122011001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212122011001 is a deficient number, since it is larger than the sum of its proper divisors (40193135864455).

100212122011001 is a wasteful number, since it uses less digits than its factorization.

100212122011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145542.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100212122011001 its reverse (100110221212001), we get a palindrome (200322343223002).

The spelling of 100212122011001 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, eleven thousand, one".