101020122101019 has 32 divisors (see below), whose sum is σ = 147891518454528. Its totient is φ = 60827429520000.

The previous prime is 101020122100993. The next prime is 101020122101051. The reversal of 101020122101019 is 910101221020101.

It is not a de Polignac number, because 101020122101019 - 2⁴⁴ = 83427936056603 is a prime.

It is a super-2 number, since 2×101020122101019² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020122100986 and 101020122101004.

It is not an unprimeable number, because it can be changed into a prime (101020122101419) 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, 12107169 + ... + 18671469.

It is an arithmetic number, because the mean of its divisors is an integer number (4621609951704).

Almost surely, 2^{101020122101019} is an apocalyptic number.

101020122101019 is a deficient number, since it is larger than the sum of its proper divisors (46871396353509).

101020122101019 is a wasteful number, since it uses less digits than its factorization.

101020122101019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6567339.

The product of its (nonzero) digits is 72, while the sum is 21.

The spelling of 101020122101019 in words is "one hundred one trillion, twenty billion, one hundred twenty-two million, one hundred one thousand, nineteen".