21210122101212 has 288 divisors, whose sum is σ = 61443317417664. Its totient is φ = 6111861350400.

The previous prime is 21210122101211. The next prime is 21210122101213.

21210122101212 is a `hidden beast` number, since 21 + 210 + 1 + 221 + 0 + 1 + 212 = 666.

21210122101212 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (21210122101211) and next prime (21210122101213).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210122101211) 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 95 ways as a sum of consecutive naturals, for example, 140246628 + ... + 140397780.

Almost surely, 2^{21210122101212} is an apocalyptic number.

21210122101212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210122101212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30721658708832).

21210122101212 is an abundant number, since it is smaller than the sum of its proper divisors (40233195316452).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21210122101212 is a wasteful number, since it uses less digits than its factorization.

21210122101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151429 (or 151424 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

It can be divided in two parts, 2121012 and 2101212, that added together give a palindrome (4222224).

The spelling of 21210122101212 in words is "twenty-one trillion, two hundred ten billion, one hundred twenty-two million, one hundred one thousand, two hundred twelve".