101211202000 has 40 divisors (see below), whose sum is σ = 244728691272. Its totient is φ = 40484480000.

The previous prime is 101211201997. The next prime is 101211202007. The reversal of 101211202000 is 202112101.

It can be written as a sum of positive squares in 4 ways, for example, as 295702416 + 100915499584 = 17196^2 + 317672^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×101211202000³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211202007) 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, 25300801 + ... + 25304800.

Almost surely, 2^101211202000 is an apocalyptic number.

101211202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101211202000 is an abundant number, since it is smaller than the sum of its proper divisors (143517489272).

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

101211202000 is an equidigital number, since it uses as much as digits as its factorization.

101211202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50605624 (or 50605608 counting only the distinct ones).

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

Adding to 101211202000 its reverse (202112101), we get a palindrome (101413314101).

It can be divided in two parts, 10121 and 1202000, that added together give a palindrome (1212121).

The spelling of 101211202000 in words is "one hundred one billion, two hundred eleven million, two hundred two thousand".