20101102201000 has 64 divisors (see below), whose sum is σ = 47053271304000. Its totient is φ = 8037587521600.

The previous prime is 20101102200973. The next prime is 20101102201009. The reversal of 20101102201000 is 10220110102.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (20101102201009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746290 + ... + 6384289.

It is an arithmetic number, because the mean of its divisors is an integer number (735207364125).

Almost surely, 2^{20101102201000} is an apocalyptic number.

20101102201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101102201000 is an abundant number, since it is smaller than the sum of its proper divisors (26952169103000).

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

20101102201000 is a wasteful number, since it uses less digits than its factorization.

20101102201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7133419 (or 7133405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101102201000 its reverse (10220110102), we get a palindrome (20111322311102).

The spelling of 20101102201000 in words is "twenty trillion, one hundred one billion, one hundred two million, two hundred one thousand".