100102011221001 has 16 divisors (see below), whose sum is σ = 134289616207424. Its totient is φ = 66324548957184.

The previous prime is 100102011220957. The next prime is 100102011221027. The reversal of 100102011221001 is 100122110201001.

It is not a de Polignac number, because 100102011221001 - 2¹⁷ = 100102011089929 is a prime.

It is a super-2 number, since 2×100102011221001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100102011221041) 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, 46766145 + ... + 48859761.

It is an arithmetic number, because the mean of its divisors is an integer number (8393101012964).

Almost surely, 2^{100102011221001} is an apocalyptic number.

It is an amenable number.

100102011221001 is a deficient number, since it is larger than the sum of its proper divisors (34187604986423).

100102011221001 is a wasteful number, since it uses less digits than its factorization.

100102011221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191560.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102011221001 its reverse (100122110201001), we get a palindrome (200224121422002).

The spelling of 100102011221001 in words is "one hundred trillion, one hundred two billion, eleven million, two hundred twenty-one thousand, one".