101122011010003 has 8 divisors (see below), whose sum is σ = 103280878082880. Its totient is φ = 98963449559040.

The previous prime is 101122011010001. The next prime is 101122011010019. The reversal of 101122011010003 is 300010110221101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122011010003 - 2¹ = 101122011010001 is a prime.

It is a super-2 number, since 2×101122011010003² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122011010001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75736608 + ... + 77060221.

It is an arithmetic number, because the mean of its divisors is an integer number (12910109760360).

Almost surely, 2^{101122011010003} is an apocalyptic number.

101122011010003 is a deficient number, since it is larger than the sum of its proper divisors (2158867072877).

101122011010003 is a wasteful number, since it uses less digits than its factorization.

101122011010003 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152810957.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101122011010003 its reverse (300010110221101), we get a palindrome (401132121231104).

The spelling of 101122011010003 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, ten thousand, three".