101101202301000 has 128 divisors (see below), whose sum is σ = 344111728671360. Its totient is φ = 24509382368000.

The previous prime is 101101202300993. The next prime is 101101202301007. The reversal of 101101202301000 is 103202101101.

It is an interprime number because it is at equal distance from previous prime (101101202300993) and next prime (101101202301007).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101101202301007) 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, 1531803399 + ... + 1531869398.

It is an arithmetic number, because the mean of its divisors is an integer number (2688372880245).

Almost surely, 2^{101101202301000} is an apocalyptic number.

101101202301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101202301000 is an abundant number, since it is smaller than the sum of its proper divisors (243010526370360).

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

101101202301000 is a wasteful number, since it uses less digits than its factorization.

101101202301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3063672832 (or 3063672818 counting only the distinct ones).

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

Adding to 101101202301000 its reverse (103202101101), we get a palindrome (101204404402101).

The spelling of 101101202301000 in words is "one hundred one trillion, one hundred one billion, two hundred two million, three hundred one thousand".