101102100022010 has 32 divisors (see below), whose sum is σ = 182025900248400. Its totient is φ = 40431480717312.

The previous prime is 101102100021953. The next prime is 101102100022019. The reversal of 101102100022010 is 10220001201101.

It can be written as a sum of positive squares in 8 ways, for example, as 174699756841 + 100927400265169 = 417971^2 + 10046263^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101102100021982 and 101102100022000.

It is not an unprimeable number, because it can be changed into a prime (101102100022019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1823044202 + ... + 1823099658.

Almost surely, 2^{101102100022010} is an apocalyptic number.

101102100022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102100022010 is a deficient number, since it is larger than the sum of its proper divisors (80923800226390).

101102100022010 is a wasteful number, since it uses less digits than its factorization.

101102100022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94370.

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

Adding to 101102100022010 its reverse (10220001201101), we get a palindrome (111322101223111).

The spelling of 101102100022010 in words is "one hundred one trillion, one hundred two billion, one hundred million, twenty-two thousand, ten".