2010100042000 has 160 divisors (see below), whose sum is σ = 5179659623424. Its totient is φ = 752717504000.

The previous prime is 2010100041923. The next prime is 2010100042043. The reversal of 2010100042000 is 2400010102.

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

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, 1697130 + ... + 2626870.

Almost surely, 2^{2010100042000} is an apocalyptic number.

2010100042000 is a gapful number since it is divisible by the number (20) 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 2010100042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2589829811712).

2010100042000 is an abundant number, since it is smaller than the sum of its proper divisors (3169559581424).

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

2010100042000 is a wasteful number, since it uses less digits than its factorization.

2010100042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929834 (or 929818 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 2010100042000 its reverse (2400010102), we get a palindrome (2012500052102).

The spelling of 2010100042000 in words is "two trillion, ten billion, one hundred million, forty-two thousand".