100212021000213 has 16 divisors (see below), whose sum is σ = 136463455952640. Its totient is φ = 65384394477056.

The previous prime is 100212021000211. The next prime is 100212021000229. The reversal of 100212021000213 is 312000120212001.

It is a cyclic number.

It is not a de Polignac number, because 100212021000213 - 2¹ = 100212021000211 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212021000192 and 100212021000201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212021000211) 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, 7542228 + ... + 16040861.

It is an arithmetic number, because the mean of its divisors is an integer number (8528965997040).

Almost surely, 2^{100212021000213} is an apocalyptic number.

It is an amenable number.

100212021000213 is a deficient number, since it is larger than the sum of its proper divisors (36251434952427).

100212021000213 is a wasteful number, since it uses less digits than its factorization.

100212021000213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23613276.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100212021000213 its reverse (312000120212001), we get a palindrome (412212141212214).

The spelling of 100212021000213 in words is "one hundred trillion, two hundred twelve billion, twenty-one million, two hundred thirteen", and thus it is an aban number.