101212201000 has 64 divisors (see below), whose sum is σ = 239181705360. Its totient is φ = 40084000000.

The previous prime is 101212200997. The next prime is 101212201001. The reversal of 101212201000 is 102212101.

It can be written as a sum of positive squares in 8 ways, for example, as 57687393124 + 43524807876 = 240182^2 + 208626^2 .

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 (101212201001) 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, 400051 + ... + 602050.

Almost surely, 2^101212201000 is an apocalyptic number.

101212201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212201000 is an abundant number, since it is smaller than the sum of its proper divisors (137969504360).

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

101212201000 is a wasteful number, since it uses less digits than its factorization.

101212201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002223 (or 1002209 counting only the distinct ones).

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

Adding to 101212201000 its reverse (102212101), we get a palindrome (101314413101).

It can be divided in two parts, 10 and 1212201000, that multiplied together give a square (12122010000 = 110100²).

The spelling of 101212201000 in words is "one hundred one billion, two hundred twelve million, two hundred one thousand".