100211002012121 has 64 divisors (see below), whose sum is σ = 136526599028736. Its totient is φ = 71021661580800.

The previous prime is 100211002012049. The next prime is 100211002012169. The reversal of 100211002012121 is 121210200112001.

It is not a de Polignac number, because 100211002012121 - 2¹⁴ = 100211001995737 is a prime.

It is a super-2 number, since 2×100211002012121² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100211002012096 and 100211002012105.

It is not an unprimeable number, because it can be changed into a prime (100211002012171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 117339176 + ... + 118190118.

It is an arithmetic number, because the mean of its divisors is an integer number (2133228109824).

Almost surely, 2^{100211002012121} is an apocalyptic number.

100211002012121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211002012121 is a deficient number, since it is larger than the sum of its proper divisors (36315597016615).

100211002012121 is a wasteful number, since it uses less digits than its factorization.

100211002012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852702.

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

Adding to 100211002012121 its reverse (121210200112001), we get a palindrome (221421202124122).

The spelling of 100211002012121 in words is "one hundred trillion, two hundred eleven billion, two million, twelve thousand, one hundred twenty-one".