102001120022011 has 32 divisors (see below), whose sum is σ = 123178724259840. Its totient is φ = 82604930115456.

The previous prime is 102001120021963. The next prime is 102001120022023. The reversal of 102001120022011 is 110220021100201.

It is not a de Polignac number, because 102001120022011 - 2³⁵ = 101966760283643 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001120021982 and 102001120022000.

It is not an unprimeable number, because it can be changed into a prime (102001120022071) 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, 56713576 + ... + 58484458.

It is an arithmetic number, because the mean of its divisors is an integer number (3849335133120).

Almost surely, 2^{102001120022011} is an apocalyptic number.

102001120022011 is a deficient number, since it is larger than the sum of its proper divisors (21177604237829).

102001120022011 is a wasteful number, since it uses less digits than its factorization.

102001120022011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777003.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 102001120022011 its reverse (110220021100201), we get a palindrome (212221141122212).

The spelling of 102001120022011 in words is "one hundred two trillion, one billion, one hundred twenty million, twenty-two thousand, eleven".