100212111021 has 64 divisors (see below), whose sum is σ = 151279349760. Its totient is φ = 58473757440.

The previous prime is 100212111017. The next prime is 100212111029. The reversal of 100212111021 is 120111212001.

It is not a de Polignac number, because 100212111021 - 2² = 100212111017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100212110988 and 100212111006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212111029) 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, 63304396 + ... + 63305978.

It is an arithmetic number, because the mean of its divisors is an integer number (2363739840).

Almost surely, 2^100212111021 is an apocalyptic number.

100212111021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100212111021 is a deficient number, since it is larger than the sum of its proper divisors (51067238739).

100212111021 is a wasteful number, since it uses less digits than its factorization.

100212111021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100212111021 its reverse (120111212001), we get a palindrome (220323323022).

The spelling of 100212111021 in words is "one hundred billion, two hundred twelve million, one hundred eleven thousand, twenty-one".