102001010220011 has 16 divisors (see below), whose sum is σ = 117335148288000. Its totient is φ = 86858739445248.

The previous prime is 102001010219993. The next prime is 102001010220029. The reversal of 102001010220011 is 110022010100201.

It is an interprime number because it is at equal distance from previous prime (102001010219993) and next prime (102001010220029).

It is a cyclic number.

It is not a de Polignac number, because 102001010220011 - 2³⁴ = 101983830350827 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102001010219974 and 102001010220001.

It is not an unprimeable number, because it can be changed into a prime (102001010250011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50084411 + ... + 52081188.

It is an arithmetic number, because the mean of its divisors is an integer number (7333446768000).

Almost surely, 2^{102001010220011} is an apocalyptic number.

102001010220011 is a deficient number, since it is larger than the sum of its proper divisors (15334138067989).

102001010220011 is a wasteful number, since it uses less digits than its factorization.

102001010220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102166538.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102001010220011 its reverse (110022010100201), we get a palindrome (212023020320212).

The spelling of 102001010220011 in words is "one hundred two trillion, one billion, ten million, two hundred twenty thousand, eleven".