100211011021 has 8 divisors (see below), whose sum is σ = 109490076864. Its totient is φ = 90960107520.

The previous prime is 100211010983. The next prime is 100211011081. The reversal of 100211011021 is 120110112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100211011021 - 2¹⁵ = 100210978253 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100211010989 and 100211011007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211011081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7033140 + ... + 7047373.

It is an arithmetic number, because the mean of its divisors is an integer number (13686259608).

Almost surely, 2^100211011021 is an apocalyptic number.

100211011021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211011021 is a deficient number, since it is larger than the sum of its proper divisors (9279065843).

100211011021 is a wasteful number, since it uses less digits than its factorization.

100211011021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14081171.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100211011021 its reverse (120110112001), we get a palindrome (220321123022).

The spelling of 100211011021 in words is "one hundred billion, two hundred eleven million, eleven thousand, twenty-one".