101001220001000 has 128 divisors (see below), whose sum is σ = 266145620382720. Its totient is φ = 35542951200000.

The previous prime is 101001220000999. The next prime is 101001220001081. The reversal of 101001220001000 is 100022100101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147754631 + ... + 148436630.

It is an arithmetic number, because the mean of its divisors is an integer number (2079262659240).

Almost surely, 2^{101001220001000} is an apocalyptic number.

101001220001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001220001000 is an abundant number, since it is smaller than the sum of its proper divisors (165144400381720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101001220001000 is a wasteful number, since it uses less digits than its factorization.

101001220001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296191324 (or 296191310 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101001220001000 its reverse (100022100101), we get a palindrome (101101242101101).

It can be divided in two parts, 1010012 and 20001000, that added together give a palindrome (21011012).

The spelling of 101001220001000 in words is "one hundred one trillion, one billion, two hundred twenty million, one thousand".