101102012010 has 48 divisors (see below), whose sum is σ = 263132872704. Its totient is φ = 26933086176.

The previous prime is 101102012003. The next prime is 101102012017. The reversal of 101102012010 is 10210201101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101102012003) and next prime (101102012017).

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 = 101102011983 and 101102012001.

It is not an unprimeable number, because it can be changed into a prime (101102012017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 482922 + ... + 659861.

It is an arithmetic number, because the mean of its divisors is an integer number (5481934848).

Almost surely, 2^101102012010 is an apocalyptic number.

101102012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101102012010 is an abundant number, since it is smaller than the sum of its proper divisors (162030860694).

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

101102012010 is a wasteful number, since it uses less digits than its factorization.

101102012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143779 (or 1143776 counting only the distinct ones).

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

Adding to 101102012010 its reverse (10210201101), we get a palindrome (111312213111).

The spelling of 101102012010 in words is "one hundred one billion, one hundred two million, twelve thousand, ten".