101022102100010 has 32 divisors (see below), whose sum is σ = 223802810808192. Its totient is φ = 31971830114880.

The previous prime is 101022102100009. The next prime is 101022102100013. The reversal of 101022102100010 is 10001201220101.

It is a super-2 number, since 2×101022102100010² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101022102099964 and 101022102100000.

It is not an unprimeable number, because it can be changed into a prime (101022102100013) 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, 55506648596 + ... + 55506650415.

It is an arithmetic number, because the mean of its divisors is an integer number (6993837837756).

Almost surely, 2^{101022102100010} is an apocalyptic number.

101022102100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101022102100010 is an abundant number, since it is smaller than the sum of its proper divisors (122780708708182).

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

101022102100010 is a wasteful number, since it uses less digits than its factorization.

101022102100010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111013299038.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101022102100010 its reverse (10001201220101), we get a palindrome (111023303320111).

The spelling of 101022102100010 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred thousand, ten".