101202111120000 has 1280 divisors, whose sum is σ = 388867006725120. Its totient is φ = 23039631360000.

The previous prime is 101202111119957. The next prime is 101202111120059. The reversal of 101202111120000 is 21111202101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 22574637759 + ... + 22574642241.

It is an arithmetic number, because the mean of its divisors is an integer number (303802349004).

Almost surely, 2^{101202111120000} is an apocalyptic number.

101202111120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101202111120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194433503362560).

101202111120000 is an abundant number, since it is smaller than the sum of its proper divisors (287664895605120).

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

101202111120000 is a wasteful number, since it uses less digits than its factorization.

101202111120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5051 (or 5024 counting only the distinct ones).

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

Adding to 101202111120000 its reverse (21111202101), we get a palindrome (101223222322101).

The spelling of 101202111120000 in words is "one hundred one trillion, two hundred two billion, one hundred eleven million, one hundred twenty thousand".