212100121000 has 32 divisors (see below), whose sum is σ = 496314285480. Its totient is φ = 84840048000.

The previous prime is 212100120977. The next prime is 212100121001. The reversal of 212100121000 is 121001212.

It can be written as a sum of positive squares in 4 ways, for example, as 106645352356 + 105454768644 = 326566^2 + 324738^2 .

It is a super-2 number, since 2×212100121000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (212100121001) 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, 106049061 + ... + 106051060.

Almost surely, 2^212100121000 is an apocalyptic number.

212100121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100121000 is an abundant number, since it is smaller than the sum of its proper divisors (284214164480).

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

212100121000 is a wasteful number, since it uses less digits than its factorization.

212100121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212100142 (or 212100128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 212100121000 its reverse (121001212), we get a palindrome (212221122212).

The spelling of 212100121000 in words is "two hundred twelve billion, one hundred million, one hundred twenty-one thousand".