100200101201011 has 32 divisors (see below), whose sum is σ = 115846969245696. Its totient is φ = 84889334880000.

The previous prime is 100200101200897. The next prime is 100200101201023. The reversal of 100200101201011 is 110102101002001.

It is not a de Polignac number, because 100200101201011 - 2¹³ = 100200101192819 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100200101201111) 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, 6309424791 + ... + 6309440671.

It is an arithmetic number, because the mean of its divisors is an integer number (3620217788928).

Almost surely, 2^{100200101201011} is an apocalyptic number.

100200101201011 is a deficient number, since it is larger than the sum of its proper divisors (15646868044685).

100200101201011 is a wasteful number, since it uses less digits than its factorization.

100200101201011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30763.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100200101201011 its reverse (110102101002001), we get a palindrome (210302202203012).

The spelling of 100200101201011 in words is "one hundred trillion, two hundred billion, one hundred one million, two hundred one thousand, eleven".