101102210010 has 48 divisors (see below), whose sum is σ = 262881455616. Its totient is φ = 26958978144.

The previous prime is 101102209979. The next prime is 101102210029. The reversal of 101102210010 is 10012201101.

It is a happy number.

It is a super-2 number, since 2×101102210010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101102209974 and 101102210001.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2837727 + ... + 2873133.

It is an arithmetic number, because the mean of its divisors is an integer number (5476696992).

Almost surely, 2^101102210010 is an apocalyptic number.

101102210010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102210010 is an abundant number, since it is smaller than the sum of its proper divisors (161779245606).

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

101102210010 is a wasteful number, since it uses less digits than its factorization.

101102210010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67147 (or 67144 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101102210010 its reverse (10012201101), we get a palindrome (111114411111).

The spelling of 101102210010 in words is "one hundred one billion, one hundred two million, two hundred ten thousand, ten".