101022211102000 has 80 divisors (see below), whose sum is σ = 258640630440192. Its totient is φ = 38031891225600.

The previous prime is 101022211101991. The next prime is 101022211102009. The reversal of 101022211102000 is 201112220101.

It is an interprime number because it is at equal distance from previous prime (101022211101991) and next prime (101022211102009).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (101022211102009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485586752 + ... + 1485654751.

Almost surely, 2^{101022211102000} is an apocalyptic number.

101022211102000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022211102000 is an abundant number, since it is smaller than the sum of its proper divisors (157618419338192).

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

101022211102000 is a wasteful number, since it uses less digits than its factorization.

101022211102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971241543 (or 2971241527 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101022211102000 its reverse (201112220101), we get a palindrome (101223323322101).

The spelling of 101022211102000 in words is "one hundred one trillion, twenty-two billion, two hundred eleven million, one hundred two thousand".