101122011010010 has 64 divisors (see below), whose sum is σ = 194813219905920. Its totient is φ = 37677664615680.

The previous prime is 101122011010001. The next prime is 101122011010019. The reversal of 101122011010010 is 10010110221101.

It is an interprime number because it is at equal distance from previous prime (101122011010001) and next prime (101122011010019).

It is a super-2 number, since 2×101122011010010² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101122011009973 and 101122011010000.

It is not an unprimeable number, because it can be changed into a prime (101122011010019) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29470004 + ... + 32721936.

It is an arithmetic number, because the mean of its divisors is an integer number (3043956561030).

Almost surely, 2^{101122011010010} is an apocalyptic number.

101122011010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101122011010010 is a deficient number, since it is larger than the sum of its proper divisors (93691208895910).

101122011010010 is a wasteful number, since it uses less digits than its factorization.

101122011010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3254703.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101122011010010 its reverse (10010110221101), we get a palindrome (111132121231111).

The spelling of 101122011010010 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, ten thousand, ten".