101100212202000 has 640 divisors, whose sum is σ = 376607720706048. Its totient is φ = 23060524032000.

The previous prime is 101100212201993. The next prime is 101100212202007. The reversal of 101100212202000 is 202212001101.

It is an interprime number because it is at equal distance from previous prime (101100212201993) and next prime (101100212202007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101100212202007) 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 127 ways as a sum of consecutive naturals, for example, 4383642469 + ... + 4383665531.

Almost surely, 2^{101100212202000} is an apocalyptic number.

101100212202000 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 101100212202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188303860353024).

101100212202000 is an abundant number, since it is smaller than the sum of its proper divisors (275507508504048).

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

101100212202000 is a wasteful number, since it uses less digits than its factorization.

101100212202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27024 (or 27008 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101100212202000 its reverse (202212001101), we get a palindrome (101302424203101).

The spelling of 101100212202000 in words is "one hundred one trillion, one hundred billion, two hundred twelve million, two hundred two thousand".