100121001222011 has 24 divisors (see below), whose sum is σ = 125821141915392. Its totient is φ = 77985780246000.

The previous prime is 100121001221987. The next prime is 100121001222043. The reversal of 100121001222011 is 110222100121001.

It is not a de Polignac number, because 100121001222011 - 2³⁴ = 100103821352827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100121001222061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21007985 + ... + 25329378.

It is an arithmetic number, because the mean of its divisors is an integer number (5242547579808).

Almost surely, 2^{100121001222011} is an apocalyptic number.

100121001222011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100121001222011 is a deficient number, since it is larger than the sum of its proper divisors (25700140693381).

100121001222011 is a wasteful number, since it uses less digits than its factorization.

100121001222011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46339943 (or 46339932 counting only the distinct ones).

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

Adding to 100121001222011 its reverse (110222100121001), we get a palindrome (210343101343012).

The spelling of 100121001222011 in words is "one hundred trillion, one hundred twenty-one billion, one million, two hundred twenty-two thousand, eleven".