101211222202000 has 160 divisors (see below), whose sum is σ = 259327571124960. Its totient is φ = 38073194086400.

The previous prime is 101211222201931. The next prime is 101211222202003. The reversal of 101211222202000 is 202222112101.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 56083084010496 + 45128138191504 = 7488864^2 + 6717748^2 .

It is a super-2 number, since 2×101211222202000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (101211222202003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42252456 + ... + 44583544.

It is an arithmetic number, because the mean of its divisors is an integer number (1620797319531).

Almost surely, 2^{101211222202000} is an apocalyptic number.

101211222202000 is a gapful number since it is divisible by the number (10) 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 101211222202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129663785562480).

101211222202000 is an abundant number, since it is smaller than the sum of its proper divisors (158116348922960).

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

101211222202000 is a wasteful number, since it uses less digits than its factorization.

101211222202000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2332406 (or 2332390 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101211222202000 its reverse (202222112101), we get a palindrome (101413444314101).

The spelling of 101211222202000 in words is "one hundred one trillion, two hundred eleven billion, two hundred twenty-two million, two hundred two thousand".