100002100001011 has 16 divisors (see below), whose sum is σ = 111206183977728. Its totient is φ = 89301689366400.

The previous prime is 100002100000973. The next prime is 100002100001039. The reversal of 100002100001011 is 110100001200001.

It is a cyclic number.

It is not a de Polignac number, because 100002100001011 - 2¹⁹ = 100002099476723 is a prime.

It is a super-2 number, since 2×100002100001011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100002100000985 and 100002100001003.

It is not an unprimeable number, because it can be changed into a prime (100002100001081) 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, 40767100 + ... + 43150441.

It is an arithmetic number, because the mean of its divisors is an integer number (6950386498608).

Almost surely, 2^{100002100001011} is an apocalyptic number.

100002100001011 is a deficient number, since it is larger than the sum of its proper divisors (11204083976717).

100002100001011 is a wasteful number, since it uses less digits than its factorization.

100002100001011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83920542.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100002100001011 its reverse (110100001200001), we get a palindrome (210102101201012).

The spelling of 100002100001011 in words is "one hundred trillion, two billion, one hundred million, one thousand, eleven".