101021010002000 has 320 divisors, whose sum is σ = 274248735171840. Its totient is φ = 35673152256000.

The previous prime is 101021010001973. The next prime is 101021010002027. The reversal of 101021010002000 is 200010120101.

It is an interprime number because it is at equal distance from previous prime (101021010001973) and next prime (101021010002027).

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 163349366 + ... + 163966634.

It is an arithmetic number, because the mean of its divisors is an integer number (857027297412).

Almost surely, 2^{101021010002000} is an apocalyptic number.

101021010002000 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 101021010002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137124367585920).

101021010002000 is an abundant number, since it is smaller than the sum of its proper divisors (173227725169840).

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

101021010002000 is a wasteful number, since it uses less digits than its factorization.

101021010002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617519 (or 617503 counting only the distinct ones).

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

Adding to 101021010002000 its reverse (200010120101), we get a palindrome (101221020122101).

The spelling of 101021010002000 in words is "one hundred one trillion, twenty-one billion, ten million, two thousand".