101101130030019 has 64 divisors (see below), whose sum is σ = 160849424056320. Its totient is φ = 55228511521920.

The previous prime is 101101130030009. The next prime is 101101130030029. The reversal of 101101130030019 is 910030031101101.

It is an interprime number because it is at equal distance from previous prime (101101130030009) and next prime (101101130030029).

It is not a de Polignac number, because 101101130030019 - 2⁴ = 101101130030003 is a prime.

It is a super-2 number, since 2×101101130030019² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 101101130029977 and 101101130030004.

It is not an unprimeable number, because it can be changed into a prime (101101130030009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7830613174 + ... + 7830626084.

It is an arithmetic number, because the mean of its divisors is an integer number (2513272250880).

Almost surely, 2^{101101130030019} is an apocalyptic number.

101101130030019 is a deficient number, since it is larger than the sum of its proper divisors (59748294026301).

101101130030019 is a wasteful number, since it uses less digits than its factorization.

101101130030019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21000.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 101101130030019 in words is "one hundred one trillion, one hundred one billion, one hundred thirty million, thirty thousand, nineteen".