101102211010002 has 8 divisors (see below), whose sum is σ = 202204422020016. Its totient is φ = 33700737003332.

The previous prime is 101102211010001. The next prime is 101102211010007. The reversal of 101102211010002 is 200010112201101.

It is a sphenic number, since it is the product of 3 distinct primes.

101102211010002 is an admirable number.

It is a super-2 number, since 2×101102211010002² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101102211010002.

It is not an unprimeable number, because it can be changed into a prime (101102211010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8425184250828 + ... + 8425184250839.

It is an arithmetic number, because the mean of its divisors is an integer number (25275552752502).

Almost surely, 2^{101102211010002} is an apocalyptic number.

101102211010002 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

101102211010002 is a wasteful number, since it uses less digits than its factorization.

101102211010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16850368501672.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101102211010002 its reverse (200010112201101), we get a palindrome (301112323211103).

The spelling of 101102211010002 in words is "one hundred one trillion, one hundred two billion, two hundred eleven million, ten thousand, two".